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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

Postgraduate School and Faculty of Law receive Rector during discussion with emerging researchers
2012-09-11

A session of the special programme for upcoming researchers was attended by, from the left: Denine Smit, Prof. Jonathan Jansen, Prof. Voet du Plessis of the Department of Mercantile Law and Marda Horn; back: Glancina Mokone, Albert Nell, Pieter Brits, Prof. Neil Roos, Director of the UFS’s Postgraduate School and Jamie Faber.
Photo: Leonie Bolleurs
11 September 2012

 Prof. Jonathan Jansen, Vice-Chancellor and Rector of the university, recently addressed six Ph.D. students and their supervisors in the Faculty of Law as part of a special programme of the Postgraduate School for emerging researchers. Prof. Jansen contextualised his lecture on the impact and significance of research, “How do you determine that the important and bigger questions in your research are addressed to ensure the impact thereof?” in his discussion with the researchers. Based on the model of international postgraduate seminars, the researchers set out their field of study to Prof. Jansen and the audience. Suggestions were then made on how to increase the intellectual impact and theoretical depth of academic argumentation.

According to Prof. Neil Roos, Director of the Postgraduate School, together with Prof. Jackie du Toit and Prof. Corli Witthuhn, Academic Coordinators for the Vice Chancellor’s Prestige Scholar Programme, the aim of the programme is to provide support to emerging researchers on postgraduate level similar to the Prestige Scholar Programme.

“The initiative is being rolled out in a faculty-specific way. In consultation with the deans, the specific needs in the faculty are determined, which in turn determines the approach,” says Prof. Roos.

The six students are all involved at the university in various capacities, and are studying towards a Ph.D. in Law. They are outstanding candidates who are being funded by the Postgraduate School in order to empower postgraduate students to greater reach, internationalisation and the establishment of long-term academic networks. The programme is coordinated in the Faculty of Law by Prof. Loot Pretorius.

Two upcoming researchers in the Faculty of Theology and one in Nursing joined the group for Prof. Jansen’s lecture on significant research.

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