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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 becomes the first university in Africa to sign a memorandum of understanding with the United Nations University
2009-12-01

 During the signing of the memorandum of agreement between DiMTEC and the United Nations University in Bonn, Germany were, from the left, seated: Prof. Konrad Osterwalder, Under-Secretary-General of the United Nations and Rector of the United Nations University; and Prof. Herman van Schalkwyk, Dean of the Faculty of Natural and Agricultural Sciences at the UFS; back: Prof. Dusan Sakulski, Academic Officer, UNU Cooperative Unit for South Africa; and Mr Andries Jordaan, Director of DiMTEC at the UFS.
Photo: Supplied
 
The University of the Free State (UFS) has become the first university in Africa to sign a memorandum of understanding with the United Nations University. The memorandum of understanding was negotiated by Mr Andries Jordaan, Director of the UFS's Disaster Management Training and Education Centre for Africa (DiMTEC).

Mr Jordaan negotiated with the United Nations University Institute for Environment and Human Security (UNU-EHS) to foster a relationship and combine their pool of resources for training in different aspects of Disaster Management. A triangular agreement between DiMTEC, UNU-EHS and the University of Novi Sad in Serbia will be established in three phases. The first phase is the signing of a memorandum of understanding between DiMTEC and UNU-EHS. This phase was completed in September 2009, when Prof. Konrad Osterwalder, Under-Secretary-General of the United Nations and Rector of the United Nations University, and Prof. Herman van Schalkwyk, Dean of the Faculty of Natural and Agricultural Sciences at the UFS signed the memorandum in Bonn, Germany. The second phase is a memorandum of understanding between UNU-EHS and the University of Novi Sad.

The memorandum of understanding entails among others joint projects between DiMTEC and the UNU-EHS, research for specific projects, exchange of lecturers and that the UNU will assist DiMTEC with external evaluation. As a result of this memorandum, the two universities have already combined their pool of resources by presenting a vulnerability short course and a visitation to the Republic of the Congo.

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