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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

British Academic visits UFS
2011-04-14

Dr Wayne Dooling
Photo: Gerda-Marie Viviers

Dr Wayne Dooling , a senior lecturer at the University of London in the School of Oriental and African Studies (SOAS), gave a lecture at the University of the Free State (UFS) on Tuesday. This lecture was presented in conjunction with the UFS’s Department of History. The lecture was on violence and Colonial Law in Southern Africa. “Dutch law was characterised by force and violence,” said Dr Dooling in his introduction of the topic. 

In his lecture Dr Dooling spoke about how Colonial Law worked and how the African legal systems were suppressed by European Law. “One of the biggest achievements European Governments sought was to get African societies and Africans to come around to European ways of wrongdoing,” said Dr Dooling .  He said that African courts did not just disappear; they continued to exist. The reason for Africans to use and rely on European courts was that they were dissatisfied with their own courts.  African laws were not fixed; they benefited only a few and were often violated.

Dr Dooling is currently an Associate Dean of the Faculty of Arts and Humanities of the SOAS. He has authored two books, namely: Slavery, emancipation and Colonial rule in South Africa and Law and community in a slave society.

14 April 2011

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