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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

DiMTEC hosts second conference on disaster risk reduction
2009-06-02

 
Dr Anthony Turton, the Director: TouchStone Resources (Pty) Ltd. delivered the opening address at this year’s two-day annual international conference on disaster risk reduction that was presented by the Disaster Management Training and Education Centre for Africa (DiMTEC) at the University of the Free State (UFS).

In his presentation: Sitting on the horns of a dilemma: South Africa and its strategic water supply, he said: “We have simply reached the limit of the water resources in South Africa. On the one hand, we deal with the quantity dilemma in terms of strategic water storage. South Africa and Zimbabwe counts under the top 20 countries in the world in terms of dams built. We can only build about ten more dams.”

“On the other hand, we must deal with quantity. Previous solutions are not future solutions. When water is recycled, hormones such as oestrogen do not disappear. We must become creative and do something else,” he said.

“Science can make a difference. The UFS is well placed in terms of its groundwater research. Universities must invest in the necessary technology because the testing of toxins is essential. We must work in ways to prevent toxins from re-entering the water cycle,” he said.

A number of international speakers such as Dr Fabrice Renaud, Associate Director at the United Nations University’s Institute for Environment and Human Security (UNU-EHS) in Bonn, Germany, Dr Eugene Poolman, Chief Forecaster: Disaster Risk Reduction, South African Weather Service, and Prof. Rob Bragg from the Department of Microbial, Biochemical and Food Biotechnology at the UFS, attended the conference, as well as attendees from 11 different countries.

At the conference were, from the left: Mr Andries Jordaan, Director: DiMTEC at the UFS; Dr Ing Jörn Birkmann, Head of Section: Vulnerability Assessment at the United Nations University’s Institute for Environment and Human Security (UNU-EHS); Dr Anthony Turton, Director: TouchStone Resources (Pty) Ltd.; and Dr Fabrice Renaud, Associate Director: UNU-EHS.
Photo: Supplied

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