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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 academics present papers at major conference
2009-07-23

 
Pictured from the left are: Prof Neethling, Prof Edna van Harte (Dean of the Faculty of Military Science, Stellenbosch University), Dr Thomas Mandrup (from the Royal Danish Defence College and co-organiser of the conference), and Prof Heidi Hudson.
Photo: Supplied


Prof Theo Neethling from the Department of Political Science was recently invited to address a conference on the theoretical basis for states’ use of military instruments of force and scholarly progress in the understanding of armed conflict in Africa held at Stellenbosch University (SU) on 11 and 12 June 2009. This conference, themed Strategic Theory and Contemporary Africa Conflicts, was presented by the Faculty of Military Science of SU in collaboration with the Faculty of Military and Strategic Studies of the Royal Danish Defence College in Copenhagen. The conference was premised on the point that the way in which states choose to become involved in, orchestrate or oppose armed conflicts in terms of peace intervention action, normally originates from theoretical thinking well-grounded in a national strategy. This was the first conference in South Africa that focused on the nature of such a national strategy, but also on how the incidence of recent armed conflicts in Africa could be explained in terms of this theoretical thinking. In view of this Prof Neethling’s paper was titled, “UN peacekeeping operations in Africa: Reflections on developments, trends and the way forward”. His paper focused on recent and current UN peacekeeping operations with special reference to multinational challenges in the African context.


Prof. Heidi Hudson from the Centre for African Studies also attended the conference in Stellenbosch on Strategic Theory and Contemporary Africa Conflicts. In addition she was invited to present a paper at the Peacekeeping Africa 2009 conference held on 24 and 25 June 2009 at Gallagher Estate, Midrand. The event brings together individuals who are experts in defence, peacekeeping, policing, foreign service and other government bodies to share knowledge and to discuss the latest developments. This year’s conference was attended by more than 100 experts from all over Africa, with strong representation from the UN and the International Red Cross. Prof. Hudson’s paper was entitled “Peacebuilding through a gender lens”. Her presentation examined lessons learnt with regard to implementation of a gender perspective in Côte d’Ivoire and Rwanda. These case studies point towards an empirical link between women’s inclusion in peace processes and the quality of peace finally achieved. Prof. Hudson warned that inattention to the differential needs of both women and men during conflict and in the post-conflict reconstruction phase may perpetuate the violence discourses which sustained the conflict in the first place.

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