Publications, Conferences, and Congresses: 2015 - 2016

Research Articles: 2015

Aphane, V. & Vermeulen, PD.  2015.  Acid mine drainage and its potential impact on the water resources in the Waterberg coalfield.  Applied Mathematical Modelling 118: 55-77.

Atangana, A.  2015.  Modeling the Enzyme Kinetic Reaction.  Acta Biotheoretica 1-18.

Atangana, A.  2015.  Extension of the sumudu homotopy perturbation method to an attractor for one-dimensional keller–segel equations.  Applied Mathematical Modelling 39(10): 2909-2916.

Atangana, A.  2015.  A new defy for iteration methods.  Journal of Applied Analysis and Computations (3): 273-283.

Atangana, A.  2015.  On the stability and convergence of the time-fractional variable order telegraph equation.  Journal of Computational Physics 293: 104-114.

Atangana, A.  2015.  Numerical analysis of time fractional three dimensional diffusion equation.  Thermal Science 19(1): 7-12.

Atangana, A.  2015.  Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel.  Advances in Mechanical Engineering 7(6): 1-6.

Atangana, A.  2015.  A novel model for the Lassa Hemorrhagic Fever: Deathly disease for pregnant women.  Neural Computing and Applications 26: 1895-1903.

Atangana, A. & Alkahtani, B.S.T.  2015.  Analysis of the Keller-Segel Model with a Fractional Derivative without Sinular Kernel.  Entropy 17(6): 4439-4453.

Atangana, A. & Alabaraoye, E.  2015.  A possible modification of groundwater flow equation using coordinate transformations.  Water Science and Technology: Water Supply 15(2): 278-287.

Atangana, A. & Alabaraoye, E.  2015.  On the modified groundwater flow equation: Analytical solution via iteration method.  Hydrological Processes 29(19): 4284-4292.

Atangana, A. & Baleanu, D.  2015.  On modelling the groundwater flow within a confined aquiferRomanian Journal of Physics 60(3-4): 573-582.

Atangana, A. Baleanu, D. & Ahmed, A.  2015.  New properties of conformable derivative.  Open Mathematics 13: 889-898.

Atangana, A., Baleanu, D., Yang, X. & Mohamed I Al Qurash, M.  2015.  On the nonlinear perturbation (𝑛,) Rosenau-Hyman equation: A model of nonlinear scattering waves.  Advances in Mathematical Physics 15: 1-8.

Atangana, A. & Goufo, E.  2015.  Solution of diffusion equation with local derivative with new parameter.  Thermal Science 19(1): 231-238.

Atangana, A. & Nieto, J.J.  2015.  Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel.  Advances in Mechanical Engineering 700: 1-7.

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

Dubey, R.S., Saad, B., Alkahtani, Badr Saad,T. & Atangana, A.  2015.  Analytical solution of space-time fractional fokker-planck equation by homotopy perturbation sumudu transform method.  Mathematical Problems in Engineering 1-7

Gomo, M. & Vermeulen, PD.  2015.  An investigative comparison of purging and non-purging groundwater sampling methods in Karoo aquifer monitoring wells.  Journal of African Earth Sciences 103: 81-88.

Goufo, E. & Atangana, A.  2015.  Extension of fragmentation process in a kinetic-diffusive wave system.  Thermal Science 19(1): 13-23.

Goufo, E. & Atangana, A.  2015.  A model of the groundwater owing within a leaky aquifer using the concept of local variable order derivative.  Journal of Nonlinear Science and Applications 8(5): 763-775.

Kumar, D., Purohit, S., Secer, A. & Atangana, A.  2015.  On generalized fractional kinetic equations involving generalized bessel function of the first kind.  Mathematical problem in Engineering: 1-7.

Book

Atangana, A.  2015.  Local derivative with new parameter: Theory, methods and applications.  Elsevier: Academic press.

Chapter in Book

Atangana, A.  2015.  Application of fractional calculus to epidemiology.  In Fractional dynamics edited by C. Cattani, H.M. Srivastava and Xiao-Jun Yang.  Berlin, Germany: De Gruyter.  Chapter 10.

Conference Contributions

Bredenkamp, L. Hydraulic fracturing and Water Resources: Separating fact from fiction. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Deysel, L. An Acid Base Accounting study of the coal-bearing formations in the Waterberg coalfield. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Fourie, F. Introduction to National Groundwater Strategy. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015

Gomo, M. Effects of artefacts other than horizontal groundwater flux on a single-borehole tracer dilution test: Field evidence. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Haumann, K. Investigating the impact of fertilizer effluent disposed in quarries on groundwater quality. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Lourens, P.J.H. Investigating the influence of fine ash leaching in a tailings dam on the underlying aquifers. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Lukas, E. A management plan towards the flooding of an open-cast mine with adjacent underground sections. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Lukas, E. & Vermeulen, P.D. A management plan towards the flooding of an open-cast mine with adjacent underground sections. 10th International conference on acid rock drainage & IMWA annual conference. Santiago, Chile. 21 April 2015

Makhokha, D, & Fourie, F. A systematic approach to the interpretation of conductivity anomalies across intrusive dolerite dykes and sills in the Karoo supergroup. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Makoae, M., Molaba, L., Van der Merwe, J. & Fourie, F. Investigating the potential of using groundwater associated with a ring dyke to augment the municipal water supply to Bloemfontein. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Mphambukeli, T.N. & Oke, S.A. Towards sustainability: practical options for irrigation water conversation at the Bloemfontein campus of the University of the Free State.  8TH Quantity surveying conference. Bloemfontein, 14-16 October 2015.

Oke, S.A., Vermeulen, P.D. & Gomo, M. Aquifer vulnerability assessment of the Dahomey Basin using RTt method. Groundwater Vulnerability - From Scientific Concept to Practical Application International Conference, Poland, 25–29 May 2015.

Shakhane, T. & Fourie, F. Quantifying groundwater-surface water exchange fluxes based on the steady state riparian area aquifer water balance. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Van Deventer, F. Modelling recharge in an opencast coal mining environment, applying model parameters on a catchment scale. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.

Van Niekerk, J. Water balance calculations in a rehabilitated environment. 14th Groundwater Division of the Geological Society of South Africa Conference, Muldersdrift, 21-23 September 2015.


Research Articles: 2016

Alkahtani, B. & Atangana, A.  2016.  A new nonlinear triadic model of predator—prey based on derivative with non-local and non-singular kernel.  Advances in Mechanical Engineering 8(11): 1-9.  

Alkahtani, B. & Atangana, A.  2016.  Analysis of non-homogeneous heat model with new trend of derivative with fractional order.  Chaos Solitons & Fractals 89: 566-571.

Alkahtani, B. & Atangana, A.  2016.  Chaos on the Vallis Model for El Niño with Fractional Operators.  Entropy 18: 2-7.

Alkahtani, B. & Atangana, A.  2016.  Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order.  Chaos Solitons & Fractals 89: 539-546.

Alkahtani, B. & Atangana, A.  2016.  Modeling the potential energy field caused by mass density distribution with Eton approach.  Open Physics 14: 106-113.

Alkahtani, B., Atangana, A. & Koca, I.  2016.  Huge analysis of Hepatitis C model within the scope of fractional calculus.  Journal of Nonlinear Sciences and Applications 9: 6195-6203.

Alkahtani, B., Koca, I. & Atangana, A.  2016.  A novel approach of variable order derivative: Theory and Methods.  Journal of Nonlinear Sciences and Applications 9: 4867-4876.

Atangana, A.  2016.  On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation.  Applied Mathematics and Computation 273: 948-956.

Atangana, A.  2016.  Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus.  European Physical Journal Plus 131: 1-9.

Atangana, A.  2016.  Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation.  Journal of Vibration and Control 22(7): 1749-1756.

Atangana, A.  2016.  On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation.  Journal of Vibration and Control 22(7): 1769-1776.

Atangana, A. & Alqahtani, R.  2016.  A novel double integral transform and its applications. Journal of Nonlinear Sciences and Applications 9(2): 424-434.

Atangana, A. & Alqahtani, R.  2016.  Modeling the spread of Rubella disease using the concept of with local derivative with fractional parameter. Complexity 21(6): 442-451.

Atangana, A. & Alqahtani, R.  2016.  Modelling the spread of river blindness disease via the caputo fractional derivative and the beta-derivative.  Entropy 18(40): 1-18.

Atangana, A. & Alqahtani, R.  2016.  New model of groundwater flowing within a confine aquifer: Application of Caputo-Fabrizio derivative.  Arabian Journal of Geosciences 9(8): 1-6.

Atangana, A. & Alqahtani, R.  2016.  Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation.  Advances in Difference Equations 156: 1-13.

Atangana, A. & Alqahtani, R.  2016.  Stability analysis of nonlinear thin viscous fluid sheet flow equation with local fractional variable order derivative.  Journal of Computational and Theoretical Nanoscience 13(5): 2710-2717.

Atangana, A. & Koca, I.  2016.  Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order.  Chaos Solitons & Fractals 89: 447-454.

Atangana, A. & Koca, I.  2016.  On the new fractional derivative and application to nonlinear Baggs and Freedman model.  Journal of Nonlinear Sciences and Applications 9: 2467-2480.

Atangana, A. & Űnlü, C.  2016.  New groundwater flow equation with its exact solution.  Scientia Iranica 23(4): 1837-1843.

Atangana, A. & Baleanu, D.  2016.  New fractional derivatives with non-local and non-singular kernel.  Theory and application to heat transfer model Thermal Science 20(2): 763-769.

Atangana, A., Baleanu, D. & Alsaedi, A.  2016.  Analysis of time-fractional Hunter-Saxton equation: A model of neumatic liquid crystal.  Open Physics 14: 145-149.

Baskonus, H., Bulut, H. & Atangana, A.  2016.  On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro-elastic circular rod.  Smart Materials and Structures 25(3): 1-8.

Fourie, F.D.  2016.  Estimating the decant rate from a rehabilitated opencast colliery using a water balance approach.  Mine Water and the Environment 35: 1-17.

Gomo, M. & Masemola, E.  2016.  Groundwater hydrogeochemical characteristics in rehabilitated coalmine spoils.  Journal of African Earth Sciences 116: 114-116.

Goufo, E. & Atangana, A.  2016.  Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion.  European Physical Journal Plus 131: 269.

Oke, S.A., Vermeulen, P.D. & Gomo, M.  2016.  Aquifer vulnerability assessment of the Dahomey Basin using the RTt method.  Environmental Earth Sciences 75: 1-9.

Owolabi, K.M. & Atangana, A.  2016.  Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Reisz fractional derivative.  European Physical Journal Plus 131: 1-15.

Wang, S., Du, S., Atangana, A., Liu, A. & Lu, Z.  2016.  Application of stationary wavelet entropy in pathological brain detection.  Multimedia Tools and Applications: 1-14.

Book

Atangana, A.  2016.  Derivative with a new parameter: Theory, methods and applications.  Cambridge, US: Academic Press.

Chapter in Book

Esterhuyse, S., De Lange, S.S. & Glazewski, J.  2016.  Hydraulic fracturing in the Karoo: Critical legal and environmental perspectives.  In Potential impact of unconventional oil and gas extraction on Karoo aquifers edited by J. Glazewski and S. Estrhuyse.  Pretoria: Juta & Company.  pp. 206-221

Conference Contributions

Oke, S.A., & Vermeulen, D. 2016. Petrology and lithogeochemical characteristics of Basement rocks of Southwestern Nigeria: implications for weathering induced metal release and redistributions in soils. Paper delivered at the 36th International Geological Congress, Cape Town, South Africa. 27 August – 4 September 2016.

Oke, S.A., & Vermeulen, D. 2016. Comparison of four Vulnerability Approaches to Mapping of Shallow Aquifers of Eastern Dahomey Basin of Nigeria. Paper delivered at The European Geosciences Union General Assembly (EGU) Conference, Vienna, Austria. 17 – 22 April 2016.

Sakala, E., Fourie, F., Gomo, M., Coetzee, H., & Magadaza, L.  Specific Groundwater Vulnerability Mapping: Case Study of Acid Mine Drainage in the Witbank Coalfield, South Africa. Paper delivered at the Sixth IASTED International Conference, Environment and Water Resource Management (Africa EWRM 2016), Gaborone, Botswana 5 – 7 September 2016.

Gomez-Arias, A., Castillo, J., Van Heerden, E., & Vermeulen, D. Use of alkaline mine waste as treatment for acid drainage. Paper delivered at The 2016 Annual Conference on International Mine Water Association (IMWA), Leipzig, Germany. 11 – 15 July 2016.

Johnstone, A., Kriel, D. & Vermeulen, D. Ghaghoo Mine Dewatering and Injection of Excess Water. Paper delivered at The 2016 Annual Conference on International Mine Water Association (IMWA), Leipzig, Germany. 11 – 15 July 2016.

Lourens, P., Vermeulen, D., Fourie, F., & Haumann, J. Impact of Fertilizer Effluent Disposed in Dolerite Quarries on the Groundwater Quality. Paper delivered at The 2016 Annual Conference on International Mine Water Association (IMWA), Leipzig, Germany. 11 – 15 July 2016.

Zielke-Olivier, J. & Vermeulen, D. Fine Ash Leaching in Tailings Dams – An Impact on the Underlying Aquifers? Paper delivered at The 2016 Annual Conference on International Mine Water Association (IMWA), Leipzig, Germany. 11 – 15 July 2016.

 


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