Prof Abdon Atangana
Position
Professor
Department
Institute for Groundwater Studies (IGS)
Address
INSTITUTE FOR GROUNDWATERSTUDIES
IB 56
UFS
Telephone
051/401-3744
Office
Groundwater Studies 26
Information

Short CV

Prof Abdon Atangana is a leading applied Mathematics professor at the UFS. He obtained his honours and master’s degrees from the Department of Applied Mathematics at the UFS with distinction. He obtained his PhD degree in applied mathematics from the Institute for Groundwater Studies. He serves, as reviewer of more than 200 international accredited journals, and has been awarded the world champion of peer review twice, in 2016 and 2017. He also serves on more than 20 editorial boards of applied mathematics and mathematics and editor in chief of 2 international journals. He has presented and participated in more than 20 international conferences and has been invited as plenary speaker in more than 10 international conferences of applied mathematics and mathematics. His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. Since 2013, he has published more than 165 international accredited journals of applied mathematics, applied physics, geo-hydrology and biomathematics. He is also the single author of two books in Academic Press Elsevier with title

1.      A derivative with new parameter: Theory, methods and applications

https://www.elsevier.com/books/derivative-with-a-new-parameter/atangana/978-0-08-100644-3

2.      Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

https://www.elsevier.com/books/fractional-operators-with-constant-and-variable-order-with-application-to-geo-hydrology/atangana/978-0-12-809670-3

Prof Atangana has introduced the following mathematics operators:

  1. Atangana-Baleanu fractional derivative in Caputo sense.
  2. Atangana-Baleanu fractional derivative in Riemann-Liouville sense.
  3. Atangana-Baleanu fractional integral.
  4. Atangana derivative with memory.
  5. Atangana-Beta integral.
  6. Atangana-Sumudu transform.
  7. Beta derivative.
  8. Atangana Sumudu method. 
  9. Atangana fractional derivative with two order in Caputo sense.
  10. Atangana fractional derivative with two order in Riemann-Liouville sense.
  11. Atangana-Gomez fractional differential operators with three order in Riemann-Liouville sense.
  12. Atangana-Gomez fractional differential operators with three orders in Caputo sense.
  13. Atangana-Batogna numerical scheme.

Publications

Year 2017

1.      A Atangana and KM Owolabi, Numerical Simulation of Non-integer Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios, Journal of Computational and Nonlinear Dynamics (ISI, Impact Factor 1.36). vol. 12 no. 3, 031010 (2017)

2.      Abdon Atangana and Ilknur Koca Model of thin viscous fluid sheet ow within the scope of fractional calculus: fractional derivative with and no singular kernel, Fundamenta Informaticae, (ISI, Impact Factor, 0.71) Fundamenta Informaticae 151 (2017) 145–159.

3.      JD Djida, I Area, A Atangana, New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer, Mathematical Modelling of Natural Phenomena (ISI, Impact Factor, 1.5) , In press (2017)

4.      JD Djida, A Atangana, More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation, Numerical Methods for Partial differential equation (ISI, Impact, Factor, 1.07 ) 1616–1627, (2017)

5.      Abdon Atangana and Jose Francisco Gomez Aguira. New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications, European Physical Journal – Plus (ISI, Impact Factor, 1.521), A. Eur. Phys. J. Plus (2017) 132: 13. doi:10.1140/epjp/i2017-11293-

6.      J. B. Sharmaa, K.K. Sharma, Abdon Atangana, and S.D. Purohit.  Hybrid Watermarking Algorithm using Finite Radon and Fractional Fourier Transform, Fundamenta Informaticae (ISI, Impact Factor, 0.621) Fundamenta Informaticae 151 (2017) 523–543.

7.      Ebenezer Bonyah, Abdon Atangana and Muhammad Altaf Khan, Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative, Pac. J. Comput. Engin. (2017) 4:1.

8.      Abdon Atangana and Kolade Owolabi, Analysis of mathematics and numerical pattern formation in superdiffusive fractional multicomponents system, Advances in Applied Mathematics and Mechanics (ISI Impact Factor, 0.626 ), in press 2017

9.      Abdon Atangana and Jose Francisco Gomez Aguira, A new derivative with normal distribution kernel: Theory, methods and applications, Physica A: Statistical Mechanics and its Applications (Impact Factor, 1.798) Volume 476, 15 June 2017, Pages 1–14

10.  J. F. Gómez-Aguilar and Abdon Atangana, Fractional Hunter-Saxton equation involving partial operators with bi-order in Riemann-Liouville and Liouville-Caputo sense,  Eur. Phys. J. Plus (ISI, Impact Factor, 1.521) (2017) 132: 100,

11.  Abdon Atangana and J.F. Gomez-Aguilar, Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena (ISI, Impact Factor 1.611), DOI: 10.1016/j.chaos.2017.03.022 (2017)

12.  Abdon Atangana and Dumitru Baleanu Application of fixed point theorem for stability analysis of a nonlinear Schrödinger with Caputo new fractional order derivative, FiloMath (ISI Impact Factor, 0.638) Filomat 31:8 (2017), 2243–2248. DOI 10.2298/FIL1708243A

13.   KM Owolabi, A Atangana Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions, Advances in Difference Equations (ISI, Impact Factor 067)2017 (1), 223

14.  BST Alkahtani, I Koca, A Atangana  Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function, Advances in Mechanical Engineering (Impact Factor, 089) 9 (8), 1687814017705566(2017)

15.  KM Owolabi, A Atangana.  Numerical approximation of nonlinear fractional parabolic differential equations with Caputo–Fabrizio derivative in Riemann–Liouville sense, Chaos, Solitons & Fractals (Impact Factor, 1.98)99, 171-179

16.  A Atangana, D Baleanu, Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer,Journal of Engineering Mechanics(Impact factor, 1.67) 143 (5), D4016005(2017)

17.  Abdon Atangana, Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system, Chaos, Solitons & Fractals (Impact factor, 198), Volume 102, September 2017, Pages 396-406

18.  DP Ahokposi, A Atangana, DP Vermeulen,  Modelling groundwater fractal flow with fractional differentiation via Mittag-Leffler law, The European Physical Journal Plus (Impact Factor, 1.78) 132 (4), 165

19.  KM Owolabi, A Atangana, Spatiotemporal Dynamics of Fractional Predator–Prey System with Stage Structure for the Predator, International Journal of Applied and Computational Mathematics (Impact Factor, 0.9), 1-22, 2017

20.  KM Owolabi, A Atangana, Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction–diffusion systems, Computational and Applied Mathematics (Impact Factor, 0.98), 1-24

21.  JF Gómez-Aguilar, A Atangana, VF Morales-Delgado Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives, International Journal of Circuit Theory and Applications (Impact Factor: 1.571), DOI: 10.1002/cta.2348, (2017)

22.  BST Alkahtani, A Atangana A NOTE ON CATTANEO-HRISTOV MODEL WITH NON-SINGULAR FADING MEMORY, Thermal Science (Impact Factor: 1.03) 21 (1A), 1-7

23.  BST Alkahtani, A Atangana, Remarks on a Green functions approach to diffusion models with singular kernels in fading memories, Thermal Science (Impact Factor: 1.03)21 (2), 767-773

24.  Abdon Atangana and J. F. Gómez-Aguilar Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu, Numerical Methods for Partial Differential Equations(Impact Factor, 107) 16 AUG 2017 | DOI: 10.1002/num.22195

25.  B. S. T. Alkahtani, A. Atangana, I. Koca, Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators, Available online at www.isr-publications.com/jnsa. J. Nonlinear Sci. Appl.(Impact, Factor 1.32), 10 (2017), 3191–3200

 

Year 2016

1.      Abdon Atangana and Ilknur Koca, On the new fractional derivative and application to nonlinear baggs and freedman model, Journal of Nonlinear Science and Applications,9, 2467-2480 (2016) (ISI, Impact factor, 1.076)

2.      Abdon Atangana and Dumitru Baleanu, New fractional derivatives with local and non-singular kernel: Theory method and application to thermal science. Thermal Science 2016 Volume 20, Issue 2, Pages: 763-769 (ISI, Impact factor 1.222).

3.      A Atangana, RT Alqahtani, Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative, Entropy 18 (2), 40 (2016) (ISI, Impact Factor, 1.743)

4.      Haci Mehmet Baskonus, Hasan Bulut and Abdon Atangana, on the complex and hyperbolic structures of the longitudinal wave equation in a magnetoelectro-elastic circular rod, Smart Mater. Struct. 25, 035022 (2016)(ISI, Impact Factor, 2.769)

5.      Abdon Atangana and Ilknur Koca, Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order, Chaos, Solitons and Fractals: Volume 89, August 2016, Pages 447–454 (ISI, Impact Factor 1.611)

6.      A Atangana, BST Alkahtani.  New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative, Arabian Journal of Geosciences 9 (1), 1-6 (ISI, Impact Factor, 1.223)

7.      Abdon Atangana,  BST Alkahtani, Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order, Chaos, Solitons & Fractals, Volume 89, August 2016, Pages 539–546 (ISI, Impact Factor, 1.611)

8.      BST Alkahtani, A Atangana , Analysis of non-homogeneous heat model with new trend of derivative with fractional order Chaos, Solutons and Fractal- Volume 89, August 2016, Pages 566–571(ISI, Impact Factor, 1.611)

9.      BST Alkahtani, A Atangana, Modeling the potential energy field caused by mass density distribution with Eton approach, Open Physics, pp. 106-113, 2016 (ISI, Impact Factor, 0.96)

10.  I koca, A. Atangana, analysis of a nonlinear model of interpersonal relationships with time fractional derivative. Journal of Mathematical Analysis 7 (2)

11.  Shuihua Wang, Sidan Du, Abdon Atangana, Aijun Liu, Zeyuan Lu, Application of stationary wavelet entropy in pathological brain detection, Multimedia Tools and Applications, pp. 1-14, 2016 (ISI, Impact Factor, 1.314).

12.  Abdon Atangana, On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation, Applied Mathematics and Computation 273, 948-956 (ISI, Impact Factor, 1.5)

13.  Koca Ilknur, Atangana Abdon, Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives, Thermal Science 2016 OnLine-First Issue 00, Pages: 103-103, doi:10.2298/TSCI160209103K (ISI, Impact Factor, 1.22)

14.  Abdon Atangana and Badr Saad Alkahtani, A novel double integral transform and its application, Journal of Nonlinear Science and Applications, vol. 9, pp.424-434 (ISI, Impact factor, 0.985),

15.  BST Alkahtani, A Atangana. Chaos on the Vallis Model for El Niño with Fractional Operators, Entropy 18 (4), 100 (ISI, Impact Factor, 1.732)

16.  A Atangana, D Baleanu. Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer, Journal of Engineering Mechanics, D4016005 (2016) (ISI, Impact Factor, 1.29)

17.  Abdon Atangana, Stability Analysis of Nonlinear Thin Viscous Fluid Sheet Flow Equation with Local Fractional Variable Order Derivative, Journal of Computational and Theoretical Nanoscience, vol.13, pages 1-8 (2016) (ISI, Impact Factor 1.343)

18.  Atangana, Abdon , Baleanu, Dumitru and Alsaedi, Ahmed, Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal, Open Physics. Volume 14, Issue 1, Pages 145–149(2016) (ISI, Impact Factor, 1.085).

19.  Abdon Atangana and Rubayyi T Alqahtani, Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation, Advances in Di?erence Equations, DOI 10.1186/s13662-016-0871-x(2016), (ISI, Impact Factor, 0.69)

20.  Abdon Atangana, Badr Saad T Alkahtani, Modeling the spread of Rubella disease using the concept of with local derivative with fractional parameter, (ISI, Impact Factor, 3.541) Complexity, Volume 21, Issue 6, pages 442–451, (2016)

21.  JD Djida, I Area, A Atangana, Numerical computation of a fractional derivative with non-local and non-singular kernel, arXiv preprint arXiv:1610.07171, (2016)

22.  A Atangana, Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus, The European Physical Journal Plus (Impact Factor, 1.6)131 (10), 373

23.  KM Owolabi, A Atangana, Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative, The European Physical Journal Plus(Impact Factor, 1.6) 131 (9), 335

24.  EFD Goufo, A Atangana, Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion, The European Physical Journal Plus (Impact Factor, 1.6) 131 (8), 269

25.  A Atangana, C Ünlü, New groundwater flow equation with its exact solution, Scientia Iranica. Transaction B (Impact Factor, 1.23), Mechanical Engineering 23 (4), 1837

26.  Abdon Atangana, On The Stability of Iteration Methods for Special Solution of Time-Fractional Generalized Nonlinear ZK-BBM Equation, Vibration and Control, (ISI, Impact Factor  1.643) Journal of Vibration and Control April 2016 vol. 22 no. 7 1769-1776

27.  Abdon Atangana, Exact solution of the time-fractional underground water flowing within a leaky aquifer equation Vibration and Control  (ISI, Impact Factor 1.643) Journal of Vibration and Control April 2016 vol. 22 no. 7 1749-1756

28.  E Bonyah, A Atangana, K Okosun, MA Khan. Approximate solution of cryptosporidiosis model, Asia Pacific Journal on Computational Engineering 3 (1), 2(2016)

29.  Abdon Atangana, Ilknur Koca  and, Badr Saad T Alkahtani A new nonlinear triadic model of predator-prey based on derivative with non-local and non-singular kernel, Advances in Mechanical Engineering (ISI, Impact Factor, 0.75), vol. 8, no. 11, pp. 1–9, 2016

30.  Abdon Atangana, Ilknur Koca  and, Badr Saad T Alkahtani, Huge analysis of Hepatitis C model within the scope of fractional calculus,  Journal of Nonlinear Science and Applications (ISI, Impact Factor, 1.175) 9(2016):6195-6203 

31.  Abdon Atangana · Ilknur Koca · Badr Saad T. Alkahtani. A novel approach of variable order derivative: Theory and Methods  Journal of Nonlinear Science and Applications (ISI, Impact Factor, 1.175) 9(6):4867--4876 (2016)

 

Year 2015

1.      Abdon Atangana and Dumitru Baleanu “On the modified groundwater equation under a confined aquifer” (ISI, Impact Factor, 0.75), Romanian Journal of Physics, vol. 60, no. 3-4, pp. 573–582, 2015

2.      Abdon Atangana, On The Stability and Convergence of the Time-Fractional Variable Order Telegraph Equation, (ISI, Impact Factor, 2.485) Journal of Computational Physics 293, 104-114

3.      Abdon Atangana ‘Extension of the modified Homotopy Perturbation Method for Attractor one-dimensional Keller-Segel Equations, (ISI, Impact Factor, 2.158) Applied Mathematical Modelling 39 (10), 2909-2916

4.      Abdon Atangana ‘A  Novel Model for the Lassa Hemorrhagic Fever: Deathly Disease for Pregnant Women Neural Computing and Applications, 2015 (ISI, Impact Factor, 1.767)

5.      Abdon Atangana and Ernestine Alabaraoye, A Possible Modification of Groundwater Flow Equation, Water Science and Technology: Water Supply, 2015(ISI, Impact Factor, 0.573)

6.      Abdon Atangana and Ernestine Alabaraoye, On The Modified Groundwater Flow Equation: Analytical Solution via iteration method, Hydrological Processes, Volume 29, Issue 19, pages 4284–4292, 15 September 2015  (ISI, Impact Factor, 2.98)

7.      Emile Franc Doungmo Goufo and Abdon Atangana, EXTENSION OF FRAGMENTATION PROCESS IN A KINETIC-DIFFUSIVE-WAVE SYSTEM, (ISI, Impact Factor, 1.20) Thermal Science 19 (suppl. 1), 13-23 (2015)

8.      Abdon Atangana, NUMERICAL ANALYSIS OF TIME FRACTIONAL THREE DIMENSIONAL DIFUSSION EQUATION, (ISI, Impact Factor, 1. 20) Thermal Science 19 (suppl. 1), 7-12 (2015)

9.      Abdon Atangana, Emile Franc Doungmo Goufo, SOLUTION OF DIFFUSION EQUATION WITH LOCAL DERIVATIVE WITH NEW PARAMETER, (ISI, Impact Factor, 1.20) Thermal Science 19 (suppl. 1), 231-238 (2015)

10.  Abdon Atangana and Emile Franc Goufo Doungmo, A model of the groundwater flowing within a leaky aquifer using the; concept of local variable order derivative, 2015 (ISI Impact Factor, 1.07), Journal of Nonlinear Science and Applications 8(5):763-775

11.  Abdon Atangana,  A New defy for iteration methods, Journal of Applied Analysis and Computation 5 (3), 273-283, 2015 (ISI, Impact Factor, 1.02)

12.  Abdon Atangana,   Modeling the Enzyme Kinetic Reaction,  Acta Biotheoretica, 1-18, 2015, (ISI, Impact factor, 1.231)

13.  A Atangana, BST Alkahtani, Analysis of the Keller–Segel Model with a Fractional Derivative without Singular Kernel, (ISI, Impact Factor, 1.56 )Entropy 17 (6), 4439-4453 (2015)

14.  A Atangana, BST Alkahtani, Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel, (ISI, Impact Factor, 0.6) Advances in Mechanical Engineering, vol. 7, no. 6, pp. 1–6, 2015

15.  Ravi Shanker Dubey, Badr Saad T. Alkahtani, and Abdon Atangana, “Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method,” (ISI, Impact factor, 0. 789) Mathematical Problems in Engineering, vol. 2015, Article ID 780929, 7 pages, 2015. doi:10.1155/2015/780929

16.  Dinesh Kumar, S. D. Purohit, A. Secer, and A. Atangana, “On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind, (ISI, Impact factor, 0. 789)” Mathematical Problems in Engineering, vol. 2015, Article ID 289387, 7 pages, 2015. doi:10.1155/2015/289387

17.  Batogna, R.G., Atangana, A., Comparison of two iteration methods for solving nonlinear fractional partial differential equations, ,International Journal of Mathematical Models and Methods in Applied Sciences, vol. 9, pp. 105–113, 2015

18.  Abdon Atangana, Hossein Jafari, Samir B. Belhaouari, and Mustafa Bayram, “Partial Fractional Equations and Their Applications,” (ISI, Impact factor, 0. 789) Mathematical Problems in Engineering, vol. 2015, Article ID 387205, 1 pages, 2015. doi:10.1155/2015/387205

19.  Abdon Atangana and Jose Juan Nieto Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel, (ISI, Impact Factor, 0.6) Advances in Mechanical Engineering, vol. 7(10) 1–7, 2015

Year 2014

1         Abdon Atangana “Drawdown in prolate spheroidal-spherical coordinates obtained via Green’s function and perturbation methodsCommunications in Nonlinear Science and Numerical Simulation, Volume 19, Issue 5, May 2014, Pages 1259–1269(ISI, Impact factor, 2.541)

2        Abdon Atangana “Convergence and Stability Analysis of A Novel Iteration Method for Fractional Biological Population Equation” accepted in Neural Computing and Applications , vol.25,no 5, pp: 1021-1030 (ISI, Impact Factor 1.763)

3     Abdon Atangana, “On the Singular Perturbations for Fractional Differential Equation,” The Scientific World Journal, vol. 2014, Article ID 752371, 9 pages, 2014. doi:10.1155/2014/752371 (ISI Impact factor, 1.207 )

4        Abdon Atangana “A generalized advection dispersion equation” J. Earth Syst. Sci. 123, No. 1, February 2014, pp. 101–108 (ISI, Impact factor, 0.794 )

5        Abdon Atangana. Analytical solutions for the recovery tests after constant-discharge tests in confined aquifers,  ISSN 1816-7950 (On-line) = Water SA Vol. 40 No. 4 October 2014 (ISI, Impact Factor, 0. 875)

6        Abdon Atangana, and Suares Clovis Oukouomi Noutchie.  A possible Mathematical Representation of Liver Formation Using the Concept of Non-integer Order Derivatives. BioMed Research International, Volume 2014, Article ID 478028, 10 pages (ISI, Impact Factor  2.880)

7        Abdon Atangana and Emile Franc Doungmo Goufo, “Computational Analysis of the Model Describing HIV Infection of CD4+T Cells,” BioMed Research International, vol. 2014, Article ID 618404, 7 pages, 2014. doi:10.1155/2014/618404 (ISI, Impact Factor  2.880)

8        Abdon Atangana and P. D. Vermeulen, “Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction,” BioMed Research International, vol. 2014, Article ID 815690, 9 pages, 2014. doi:10.1155/2014/815690 (ISI, Impact Factor 2.880 )

9        Abdon Atangana and Emile Franc Doungmo Goufo, “Computational Analysis of the Model Describing HIV Infection of CD4+T Cells,” BioMed Research International, vol. 2014, Article ID 618404, 7 pages, 2014. doi:10.1155/2014/618404 (ISI, Impact Factor  2.880)

10    Abdon Atangana and Suares Clovis Oukouomi Noutchie “Model of Break-Bone Fever via Beta-derivatives” BioMed Research International, Volume 2014, Article ID 523159, 11 pages 2014, (ISI, Impact Factor  2.880)

11    Abdon Atangana and Emile Franc Doungmo Goufo “On the Mathematical Analysis of Ebola Hemorrhagic Fever: Deathly Infection Disease in West African Countries” BioMed Research International, Volume 2014, Article ID 261383, 8 pages 2014, (ISI, Impact Factor  2.880)

12    Abdon Atangana and Dumitru Baleanu “Modelling the Advancement of the Impurities and the Melted Oxygen concentration within the Scope of Fractional Calculus” International Journal of Non-Linear Mechanics  (2014), pp. 278-284, (ISI, Impact Factor, 1.463)

13    Abdon Atangana and Emile Franc Doungmo Goufo “Extension of Match Asymptotic Method to Fractional Boundary Layers Problems” Mathematical Problems in Engineering Volume 2014, Article ID 107535, 7 pages (ISI Impact Factor, 1.082)

14    Abdon Atangana and Suares Clovis Oukouomi Noutchie, “On Multi-Laplace, 2014. doi:10.1155/2014/267843 (ISI Impact Factor, 1.082)

15    Abdon Atangana and Adem Kilicman, “On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative,” Mathematical Problems in Engineering, vol. 2014, Article ID 542809, 9 pages, 2014. doi:10.1155/2014/542809(ISI Impact Factor, 1.082)

16    Abdon Atangana and Innocent Rusagara, “On the Agaciro Equation via the Scope of Green Function,” Mathematical Problems in Engineering, vol. 2014, Article ID 201796, 8 pages, 2014. doi:10.1155/2014/201796(ISI Impact Factor, 1.082)

17    Ravi Shanker Dubey, Badr Saad T. Alkahtani, and Abdon Atangana “Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform MethodMathematical Problems in Engineering. Volume 2014, Article ID 780929, 7 pages (ISI, Impact Factor 1.082)

18    Abdon Atangana and Innocent Rusagara, “On the Agaciro Equation via the Scope of Green Function,” Mathematical Problems in Engineering, vol. 2014, Article ID 201796, 8 pages, 2014. doi:10.1155/2014/201796(ISI, Impact Factor 1.082)

19    Abdon Atangana and P. D. Vermeulen, “Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation,” Abstract and Applied Analysis, vol. 2014, Article ID 381753, 11 pages, 2014. doi:10.1155/2014/381753(ISI, Impact Factor, 1.274)

20    Abdon Atangana, Necdet Bildik, and S. C. Oukouomi Noutchie, “New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation,” Abstract and Applied Analysis, vol. 2014, Article ID 740248, 9 pages, 2014. doi:10.1155/2014/740248(ISI, Impact Factor, 1.274)

21    Abdon Atangana and Gerrit van Tonder, “Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa,” Abstract and Applied Analysis, vol. 2014, Article ID 342893, 10 pages, 2014. doi:10.1155/2014/342893(ISI, Impact Factor, 1.274)

22    Abdon Atangana and S. C. Oukouomi Noutchie, “A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation,” Abstract and Applied Analysis, vol. 2014, Article ID 498381, 7 pages, 2014. doi:10.1155/2014/498381(ISI, Impact Factor, 1.274)  

23    Abdon Atangana and Suares Clovis Oukouomi Noutchie, “Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives,” Abstract and Applied Analysis, vol. 2014, Article ID 369304, 8 pages, 2014. doi:10.1155/2014/369304(ISI, Impact Factor, 1.274)

24    Abdon Atangana, Seyma Tuluce Demiray, and Hasan Bulut, “Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus,” Abstract and Applied Analysis, vol. 2014, Article ID 481657, 7 pages, 2014. doi:10.1155/2014/481657(ISI, Impact Factor, 1.274)

25    Abdon Atangana, Aden Ahmed, and Suares Clovis Oukouomi Noutchie, “On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method,” Abstract and Applied Analysis, vol. 2014, Article ID 436362, 8 pages, 2014. doi:10.1155/2014/436362(ISI, Impact Factor, 1.274)

26    Abdon Atangana and Suares Clovis Oukouomi Noutchie, “On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection,” Abstract and Applied Analysis, vol. 2014, Article ID 963985, 7 pages, 2014. doi:10.1155/2014/963985 (ISI, Impact Factor, 1.274)

27    Santanu Saha Ray, Abdon Atangana, S. C. Oukouomi Noutchie, Muhammet Kurulay, Necdet Bildik, and Adem Kilicman, “Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences,” Mathematical Problems in Engineering, vol. 2014, Article ID 849395, 2 pages, 2014. doi:10.1155/2014/849395

28    Abdon Atangana, Adem Kiliçman, Suares Clovis Oukouomi Noutchie, Aydin Secer, Santanu Saha Ray, and Ahmed M. A. El-Sayed, “Theory, Methods, and Applications of Fractional Calculus,” The Scientific World Journal, vol. 2014, Article ID 249717, 2 pages, 2014. doi:10.1155/2014/249717

29    Hossein Jafari, Abdon Atangana, Adem Kiliçman, and Muhammad Usman, “Analytical and Numerical Approaches for Complicated Nonlinear Equations,” Abstract and Applied Analysis, vol. 2014, Article ID 931294, 1 pages, 2014. doi:10.1155/2014/931294

Year 2013

1.      Abdon Atangana and Aydin Secer, “A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions,” Abstract and Applied Analysis, vol. 2013, Article ID 279681, 8 pages, (2013). doi:10.1155/2013/279681 (ISI)

2.      Abdon Atangana, O. Aden Ahmed, and Necdet Bildik, “A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Non-integer Derivatives,” Abstract and Applied Analysis, vol. 2013, Article ID 671321, 9 pages, (2013). doi:10.1155/2013/671321 (ISI)

3.      Abdon Atangana and Aydin Secer, “The Time-Fractional Coupled-Korteweg-de-Vries Equations,” Abstract and Applied Analysis, vol. 2013, Article ID 947986, 8 pages, (2013). doi:10.1155/2013/947986 (ISI)

4.      AbdonAtangana and Adem Kiliçman, “A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order,” Mathematical Problems in Engineering, vol. 2013, Article ID 696597, 6 pages, (2013). doi:10.1155/2013/696597 (ISI)

5.      Abdon Atangana and Adem Kilicman, “Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation,” Mathematical Problems in Engineering, vol. 2013, Article ID 853127, 9 pages, (2013). doi:10.1155/2013/853127 (ISI)

6.      **Abdon Atangana and Botha: A generalized groundwater flow equation using the concept of variable-order derivative. Boundary Value Problems(2013)2013:53. (ISI)

7.      **Abdon Atangana and Cloot: Stability and convergence of the space fractional variable-order Schrödinger equation. Advances in Difference Equations2013 (2013) 8(ISI)

8.      Abdon Atangana and Alabaraoye: Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations. Advances in Difference Equations2013 (2013):94. (ISI)

9.      Abdon Atangana and Adem Kilicman“The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations”  Abstract and Applied Analysis Volume  2013, Article ID 737481, 11 pages, (2013http://dx.doi.org/10.1155/2013/737481(ISI)

10.  Atangana A, Alabaraoye E (2013) Exact Solutions Fractional Heat- Like and Wave-Like Equations with Variable Coefficients. 2: 633 doi:10.4172/ scientificreports.633(ISI)

11.  Abdon Atangana and Dumitru Baleanu “Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform”Abstract Applied Analysis, Volume 2013, Article ID 160681, 9 pageshttp://dx.doi.org/10.1155/2013/160681(2013) (ISI)

12.  Abdon Atangana and S. C. Oukouomi Noutchie, “Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer,” Abstract and Applied Analysis, vol. 2013, Article ID 691060, 8 pages, 2013. Doi:10.1155/2013/691060(ISI) (ISI)

13.  Abdon Atangana and S. C. Oukouomi Noutchie, “Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time,” Abstract and Applied Analysis, vol. 2013, Article ID 206942, 7 pages, 2013. doi:10.1155/2013/206942(ISI)

14.  Abdon Atangana and Necdet Bildik, “Approximate Solution of Tuberculosis Disease Population Dynamics Model,” Abstract and Applied Analysis, vol. 2013, Article ID 759801, 8 pages, 2013. Doi:10.1155/2013/759801(ISI)

15.  Abdon Atangana, “A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation,” Abstract and Applied Analysis, vol. 2013, Article ID 769102, 10 pages, 2013. doi:10.1155/2013/769102(ISI)

16.  **Abdon Atangana“On the solution of acoustic wave equation with variable order loss operator” Advances in Difference Equations 2013, 2013:167 (ISI)

17.  **Abdon Atangana and Adem Kilicman, “A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities,” Mathematical Problems in Engineering, vol. 2013, Article ID 531984, 7 pages, 2013. Doi:10.1155/2013/531984(ISI)

18.  Abdon Atangana and S. C. Oukouomi Noutchie  “On the exact solution of high even-order differential equation” Life Science Journal, vol. 10, no. 3, pp. 246–252, 2013(ISI)

19.  Abdon Atangana and Dumitru Baleanu, “Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes,” Abstract and Applied Analysis, vol. 2013, Article ID 828764, 8 pages, 2013. doi:10.1155/2013/828764(ISI)

20.  Abdon Atangana and Adem Kiliçman, “Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method,” Abstract and Applied Analysis, vol. 2013, Article ID 380484, 9 pages, 2013. doi:10.1155/2013/380484 (ISI)

21.  **Abdon Atangana and Necdet Bildik, “The Use of Fractional Order Derivative to  Predict the Groundwater Flow,” Mathematical Problems in Engineering, vol. 2013, Article ID 543026, 9 pages, 2013. doi:10.1155/2013/543026(ISI)

22.  Abdon Atangana and Necdet Bildik, “Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind,” Mathematical Problems in Engineering, vol. 2013, Article ID 981526, 11 pages, 2013. doi:10.1155/2013/981526(ISI, 1.027)

23.  **Abdon Atangana “Drawdown in prolate spheroidal-spherical coordinates obtained via Green’s function and perturbation methodsCommunications in Nonlinear Science and Numerical Simulation, Volume 19, Issue 5, Pages 1259–1269(ISI , Impact factor, 2.773)

24.  Abdon  Atangana “On the solution of system of fractional nonlinear predator-prey population model via homotopy decomposition method” AIP Conference Proceedings 1558, 2579(ISI)

25.  Abdon Atangana and Samir Brahim Belhaouari “Solving Partial Differential Equation with Space- And Time-Fractional Derivatives via Homotopy Decomposition Method (HDM)” Mathematical Problems In Engineering, vol. 2013, Article ID 318590, pages 10(ISI)

26.  Abdon Atangana and H Bulut “Extension of homotopy decomposition method (HDM) to coupled nonlinear van der pol type’s equationScientific Bulletin of the „Petru Maior” University of Tîrgu Mures Vol. 10 (XXVII) no. 2, 2013(ISI)

                                               Year 2012

27.  Abdon  Atangana (2012) New class of boundary value problems, Inf. Sci. Let. 1 No. 2, 67-76

28.  Atangana A, Botha JF (2012) Analytical Solution of the Groundwater Flow Equation obtained via Homotopy Decomposition Method. J Earth Sci Climate Change 3:115. doi:10.4172/2157-7617.1000115

 

Published book

1.      Abdon Atangana, A derivative with new parameter: Theory, methods and applications

https://www.elsevier.com/books/derivative-with-a-new-parameter/atangana/978-0-08-100644-3

2.     Abdon Atangana,  Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

https://www.elsevier.com/books/fractional-operators-with-constant-and-variable-order-with-application-to-geo-hydrology/atangana/978-0-12-809670-3

 

 

 


Publications (Short List)

Google scholar 

https://scholar.google.com/citations?user=U3LfJ2MAAAAJ

Research gate

https://www.researchgate.net/profile/Abdon_Atangana

Publons

https://publons.com/author/328609/abdon-atangana#profile

News

https://www.pressreader.com/south-africa/the-new-age-free-state/20170929/281595240728563

 

 


Research

To use mathematical tools to solve real world problems emerging all field of sciences, technology and engineering

Area(s) of Interest

Mathematics and applications to real world problems

Current Research Interest

  • Methods and application of nonlinear equations
  • Fractional calculus and their applications to real world problems
  • Application of partial, ordinary and fractional differential equation to groundwater problems
  • Perturbation and asymptotic methods
  • Iteration methods for differential equations
  • Numerical method for partial differential equations
  • Numerical methods for ordinary differential equations
  • Analytical methods for partial differential equation
  • Analytical methods for ordinary differential equation
  • Integral transforms
  • Groundwater flow models
  • Groundwater transport models

Courses Presented

GEOH6815 ~ Groundwater Hydraulics

GEHR8900 ~ Masters of Science Majoring in Geohydrology (Geohydrology Dissertation)

GEHI8900  ~ Geohydrology Inter Dissertation

GEHR9100 ~ Philosophiae Doctor (Geohydrology Thesis)

GEHI9100  ~ Thesis Geohydrology Interdisciplinary 

Community Service


Service Learning



FACULTY CONTACT

Faculty Manager: Ms Lee-Ann Frazenburg
T: +27 51 401 3199
E: damonsle@ufs.ac.za

Marketing Manager: Mrs Elfrieda Lötter
T: +27 51 401 2531
E: lottere@ufs.ac.za

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