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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

Students help to get the economy back to the rural areas
2009-08-14

 
At the launch of Sanlam’s Creativity for Progress Competition for the Ekn 324 group were, from the left: P.J. Bothma, Mr Frank Louw, National Sponsorship Manager of Sanlam, Dr Karen Thomas, lecturer in Economic Policy at the Department of Economics, Kaylee Wells and Eugene Maseme.
Photo: Lacea Loader


Third-year students in the subject Economic Policy Analysis at the UFS are hard at work to think of ideas on how knowledge and expertise can be taken back to the rural areas of South Africa. This is the theme of Sanlam’s national competition for universities called Creativity for Progress with a total prize money of R900 000. This year's topic is "Rural areas are failing to retain and attract skilled people and graduates, resulting in economic stagnation. How would you remedy this?"

The group of 162 students, which is divided into groups of six, must compile a project that is academically grounded, practical and implementable. They must also approach the project from a community service learning perspective and it counts a quarter of their semester mark. To encourage the students, Prof. Tienie Crous, Dean of the Faculty of Economic and Management Sciences, has sponsored some prizes for which the groups must compete. Teams of between four and six members will first compete at intra-varsity level to determine a varsity winner. The national panel members will then adjudicate the varsity winners, and invite the semi finalists to the finals. Teams will be assessed on their business proposals as well as the presentation of these proposals to a panel of judges. Last year the group from the UFS ended second in the final round of the competition.

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