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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

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. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

UFS awarded five South African Research Chairs
2016-09-30

Description: South African Research Chairs Tags: South African Research Chairs

From left to right, Prof Maryke Labuschagne,
Prof Corli Witthuhn (Vice-Rector: Research),
Prof Hendrik Swart and Prof Felicity Burt.

The UFS was awarded five SARChI (South African Research Chairs Initiative) research chairs, the main goal of which is to promote research excellence. In addition, there has been an increase in the rating of the University’s researchers as the result of raised academic standards over the past few years, in line with the UFS’s Academic Project. As of 2016 the UFS has 127 NRF-rated researchers.

The following research chairs have been awarded to the UFS since 2013:

Prof Hendrik Swart from the Department of Physics is the research chair of Solid State Luminescent and Advanced Materials (2013-2017). Prof Swart’s research may assist in reducing vulnerability and contributing to poverty alleviation by providing affordable lighting for people in rural areas through fabricating phosphors and the development of nanophosphors.

Prof Maryke Labuschagne from the Department of Plant Sciences is the research chair of Disease Resistance and Quality in Field Crops (2016-2020). Prof Labuschagne believes that food security is one of the key factors for stability and prosperity on the continent. Her research and that of her students focuses on the genetic improvement of food security crops in Africa, including such staples as maize and cassava.

Research Chairs have been designed, to attract
and retain excellence in research and innovation
at South African universities.

Prof Melanie Walker, from the Department of Higher Education and Human Development, was awarded the research chair from 2013 to 2017. Prof Walker’s research interrogates the role of higher education in order to advance human development and justice in education and society, especially in relation to severe inequalities and poverty. Significantly, it asks what kind of societies we want, what is important in a democratic society, and thus, what kind of higher education is valuable, relevant and desirable.

Prof Felicity Burt from the Department of Medical Microbiology was recently awarded the research chair from 2016 to 2020, to investigate medically significant vector-borne and zoonotic viruses currently; to define associations between these viruses and specific disease manifestations that have previously not been described in our region, to increase awareness of these pathogens; to further our understanding of host immune responses, which should facilitate development of novel treatments or vaccines and drug discovery.

The Humanities without Borders: Trauma, History and Memory research chair was awarded from 2016 to 2020. The Institute for Social Justice and Reconciliation will use this research chair to investigate historical trauma within two African contexts – those of South Africa and Rwanda. The research hopes to bring insight into the role that memory plays in the formation of the experience of trauma, and to bring about healing of the trauma.

Research Chairs have been designed by the Department of Science and Technology, together with the National Research Foundation, to attract and retain excellence in research and innovation at South African public universities.

 

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