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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 law students sit in on exceptional case in the Supreme Court of Appeal
2011-09-21

 
At the Supreme Court of Appeal were, from left to right: Dr Beatri Kruger, lecturer in our Department of Criminal and Medical Law at the Faculty of Law; Adv. Ann Skelton, Amicus Curiae instructed by the Restorative Justice Centre; Ms Matsepo Soko, post-graduate student in Criminal Law; and Prof. Annette van der Merwe from the University of Pretoria.
Photo: Leonie Bolleurs

Fourth-year and master’s-degree students, from our Faculty of Law, had the privilege of attending the hearing of one of their prescribed cases in the module, Criminal Law, namely the State versus Tabethe, in the Supreme Court of Appeal. Apart from the fact that they could attend the hearing, the students were also addressed by experienced legal experts, Adv. Ann Skelton (amicus curiae, instructed by the Restorative Justice Centre) and Prof. Annette van der Merwe from the University of Pretoria, on the broad outlines of the case.

In this case, the accused was found guilty of raping his fifteen-year-old stepdaughter. The court imposed a sentence of ten years’ imprisonment, suspended in full, but with certain conditions. The conditions include 800 hours’ community service and stipulate that the accused has to follow a rehabilitation programme and that he has to give 80% of his income to the family in order to support the victim and her family.
 
This was the first rape case where, in following a restorative justice approach, exceptional conditions were imposed to address the interests of the victim who wants to proceed with her studies. The State appealed against the sentence.
 
Dr Beatri Kruger, lecturer in our Department of Criminal and Medical Law, who prescribed this case for the students, said, ‘The law students were indeed privileged to attend this auspicious and enriching occasion, which provided them with an insightful experience of how the law works in practice.’

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