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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

PSP produces first Y1-rating in UFS Faculty of Economic and Management Sciences
2015-12-14

Dr Andrew Cohen, a research fellow at the University of the Free State, recently received a distinguished National Research Foundation Y1-rating.
Photo: Sonia Small

The latest success story of the Vice-Chancellor’s Prestige Scholars Programme (PSP) is that the first National Research Foundation (NRF) Y1-rating was awarded recently to a scholar while teaching in the Faculty of Economic and Management Sciences at the University of the Free State (UFS).

Dr Andrew Cohen received this distinguished rating on 10 November 2015. It is awarded to a “young” (younger than 40) scholar five years or less post-PhD, whose curriculum vitae predicts, according to a panel of international and local reviewers, that he is poised to become a leader in his field. Dr Cohen is a research fellow at the UFS.

This rating is a reflection of Dr Cohen’s record over the past eight years, and the scholarly environment he was part of at the UFS under leadership of Prof Ian Phimister. Cohen is currently a research fellow in Prof Phimister’s International Studies Group.  He taught economic history in the Department of Economics until September 2015, when he joined the School of History at the University of Kent.

Dr Cohen’s professional trajectory is emblematic of the visionary approach of the UFS Prestige Scholars Programme (PSP): to support prestige scholars with advanced mentorship, and the creation of a college of peers in order to nurture intellectual breadth and depth to generate knowledge over disciplines.

The PSP was initiated by Prof Jonathan Jansen, Vice-Chancellor and Rector of the UFS in 2011.

“Jonathan Jansen’s prestige scholars have become sought after in the academic community at large, as this recent appointment at the University of Kent indicates,” says Professor Neil Roos, co-director of the PSP. “Yet the alumni’s commitment to the programme, the university and their peers continues.”

Cohen is the editor (with Casper Andersen) of the five volume, The Government and Administration of Africa, 1880-1939. Dr Cohen’s next project is forthcoming from I.B. Tauris, The Politics and Economics of Decolonisation: The Failed Experiment of the Central African Federation.

 

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