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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

SA-YSSP scholars attend high level colloquium with policy makers and research stakeholders
2014-02-12

From the left are: Prof Frans Swanepoel, Deputy-Director of the African Doctoral Academy, Drs Aldo Stroebel, Executive Director: International Relations and Cooperation at the National Research Foundation, Priscilla Mensah, co-director of the SA-YSSP, and Ulf Dieckmann from the International Institute for Applied Systems Analysis and Dean of the SA-YSSP.
Photo: Renè-Jean van den Berg

Scholars taking part in the 2nd Southern African Young Scientists Summer Programme (SA-YSSP), attended a one-week seminar hosted by the African Doctoral Academy at the Stellenbosch University, which concluded with a colloquium at the Stellenbosch Institute for Advanced Study.

This was part of the final leg of their three-month stay and studies at the University of the Free State.

This seminar was a capacity development intervention with the purpose of equipping SA-YSSP young scholars with the skills to communicate their research work effectively with different audiences.

The 36 scholars were hand-picked from some of the world’s most promising and top researchers to take part in the novel three-month programme for advanced doctoral candidates. Their research interests closely aligned with the Department of Science and Technology’s (DST) grand challenges and the International Institute for Applied Systems Analysis’ (IIASA) current research programmes regarding global environmental, economic and social change.

The SA-YSSP is an initiative that contributes to the establishment, growth and enhancement of high-level strategic networks internationally. At the same time it develops capacity in systems analysis at the PhD and supervisory levels through research conducted in the areas of the Department of Science and Technology’s (DST) grand challenges.

At the colloquium, students were expected to showcase their work and research according to their various fields of expertise. High-profile policy makers and policy funders, as well as academia and fellow researchers judged and critiqued the work.

Dr Priscilla Mensah from the UFS and co-director of the programme, says it is important for the young scientists to frame their findings in a way that will be relevant to policy makers and the public at large.

“The partnership with the African Doctoral Academy was crucial in this regard since it is a capacity development entity aimed at strengthening and advancing doctoral education, training and scholarship on the African continent. The objective of this week-long capacity strengthening intervention is to equip the young scientists to be able to communicate their research effectively with different audiences, including potential funders and policy makers.

“I am convinced that the young scientists will no longer view policy makers as abstract entities, but as stakeholders who must be engaged to facilitate implementation of evidence-based policy.”

Dr Aldo Stroebel, Executive Director: International Relations and Cooperation, National Research Foundation, says the purpose of the colloquium is to bring together different sectors in one room to look at different challenges holistically, with an emphasis on systems analysis for a common goal.

The SA-YSSP forms part of an annual three-month education, academic training and research capacity-building programme jointly organised by IIASA, based in Austria, the National Research Foundation (NRF) and the DST. IIASA is an international research organisation that conducts policy-oriented scientific research in the three global problem areas of energy and climate change, food and water, and poverty and equity. South Africa’s engagements with IIASA, specifically with regard to the SA-YSSP, relate primarily to the DST’s Ten-Year Innovation Plan.

The UFS is the first institution outside Austria to host the summer programme. Researchers in the programme are, among others, from South Africa and the rest of the African continent, the USA, the Netherlands, India, Hungary, Austria and Germany.

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