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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

Political scientist address Maritime Security Africa 2009 Conference
2009-10-29

 
Prof. Theo Neethling from the Department of Political Science was recently invited to address the Maritime Security Africa 2009 Conference on the issues of piracy on the eastern coast of Africa held in Cape Town on 13 and 14 October 2009. The event brought together maritime professionals, naval personnel and academics from all over the international community.

Prof. Neethling’s paper was entitled Piracy on the eastern coast of Africa: A Political Science perspective. His paper examined the fact that growing activities of piracy in the Gulf of Aden and off the Horn of Africa have increasingly threatened maritime security on the eastern coast of Africa. Prof. Neethling pointed out that, considering the fact that a very high volume of the world’s global trade moves by water, piracy is corrosive to political and social development in Africa and further afield. To this end, he explored several maritime endeavours that were launched in recent times by relevant governmental, intergovernmental and nongovernmental role players in the context of global governance. Prof. Neethling argued that piracy should be tackled in a way that combines naval action against the pirates at sea with measures to restore law and order, political processes and economic activity in Somalia. Generally, piracy often occurs when there is poverty and a weak or non-existent government. After all, insecurity on land eventually causes maritime insecurity – as is clear from the case of Somalia.
Photo: Supplied

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