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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

Tough future if nothing changes in Africa
2015-02-20

 

The Department of Political Studies and Governance at the UFS recently hosted a workshop with the Osaka School for International Public Policy and the Southern African Centre for Collaboration in Peace and Security Studies.

The workshop, which was held on Thursday 12 February, had the theme of Perspectives on African Peace and Security. During workshop sessions, thoughts and views on peace and security were discussed for both African and South African circumstances. This was the fourth year of this joint workshop at the UFS.

Prof Hussein Solomon from the Department of Political Studies and Governance at the UFS shared some notes:

“In terms of South Africa, the fact that only 11% of South Africans have a post-school education holds negative prospects for us attaining a so-called ‘knowledge economy’”, says Prof Solomon.

“This also means that unemployment will continue to remain high since, in certain key areas, the South African economy is quite sophisticated, and needs a sophisticated labour force. Therefore, high unemployment translates into further social unrest, especially if one considers that youth unemployment is approaching 50%.”
 
Moving to broader issues in Africa, Solomon states that governance remains a challenge.

“There is a need to move away from Eurocentric forms of governance to more hybrid forms, implementing a mix of western forms of governance alongside more traditional forms.”

“Otherwise, the probability of conflict remains high as we look into the future. The possibility of water wars between African states is distinct.”

“Terrorism too will be with us for some time to come, with three terrorist attacks per day in Africa. Making matters worse, whether it is conflict over water or terrorist atrocities, is the African Union’s inability to resolve these issues. It simply does not have the capacity”, says Solomon.

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