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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

A journey into self-discovery
2011-08-17
Sandy Little

The launch of the film and book Africa meets Africa: Pathways through the Interior at our university was a huge success.

It forms part of the The Africa meets Africa Project that is known for making connections between knowledge systems in pursuit of learning. It integrates amongst others beadwork and weaving with mathematics.

The film takes one through the Free State and some parts of the Northern Cape. The two actors, Mr Lerato Mokhitli and Ms Sandy Little, are both art students at Kovsies. During the trip they reveal some historic events not known to all. Prof. Jonathan Jansen, Vice-Chancellor and Rector, said: “Our history is a lot more complex and interesting than current texts allow. Much of what happened laid the foundations for trauma, and triumph is poorly understood. More so, is the history of the ordinary.”

The film and book are funded by National Heritage Council and FirstRand. It was launched in other provinces, among them KwaZulu-Natal. The Africa meets Africa Project aims to use the book in the Free State and Northern Cape in the Further Education and Training (FET) phase for educators and university students.

Prof. Jansen furthermore said: “I would definitely recommend the book with some additions, such as representation of excluded cultures. This would include white ethnographic histories and cultures and the intersections across black/white, African/European histories. I would also make the subject history compulsory to ensure that children would be exposed to our complex history.”

Ms Moipone Kabaoe, a third-year B.Soc.Sc. student at UFS, said: “The film was very informative and clarified some things. I also believe the actors have actually grown from the experience and they did a great job.”

Mrs Anna Mokhitli was ecstatic at the launch, as any proud mother would be. “I knew they were working so hard, but I never thought it would be something this big,” she said. Ms Helene Smuts, Director of Africa meets Africa, said: “You cannot learn until you start with what you know. This is the journey we took; now you must take your own.”
 

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