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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 makes history as a second researcher – Prof Melanie Walker – receives NRF A-rating
2014-12-03

Prof Melanie Walker
Photo: Sonia Small

Prof Melanie Walker, Senior Research Professor at the University of the Free State’s (UFS) Centre for Research on Higher Education and Development (CRHED) has received an A1 rating from the National Research Foundation (NRF). This rating acknowledges Prof Walker as a leading international researcher – her work unequivocally recognised by peers world-wide for its high quality and wide impact.

This is the first time in our institution’s history that two A-ratings are awarded simultaneously. Prof Maxim Finkelstein from the Department of Mathematical Statistics also recently received an A2-rating in Probability and Statistics from the NRF.

“Achieving this outstanding rating,” Prof Walker says, “is not just an individual achievement. I have had tremendous personal support and rich intellectual collaborations from wonderful colleagues on the way. The award also recognises the Rector’s project to build a dynamic research culture at UFS.”

Prof Walker has been researching and writing about issues in education and higher education for over 20 years. In particular she is interested in opportunities into, through and beyond education across dimensions of dis/advantage, and how higher education contributes to building a decent society by removing inequalities in its own policies and processes.

Through her focus on capacity building – around the common theme of higher education, human development and social justice – Prof Walker is developing a dynamic cohort of new-generation scholars. Her research group of graduate students and post-doctoral fellows is drawn from countries not only in Africa, but as far afield as Finland, India and Vietnam.

Her networks attract international scholars to the UFS, who contribute to research projects, engage graduate students, and add a considerable contribution to research at our university.

In addition, Prof Walker fulfils a host of roles, which includes:

• Tier One National Research Foundation (NRF) Chair in Higher Education and Human Development.
• Vice-President of the international Human Development and Capability Association (HDCA).
• Fellow of the Academy of Science of South Africa (ASSAf).
• Honorary professor, University of Nottingham, UK.

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