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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 praised for hosting international research development programme
2013-03-05

 

At the farewell function were, from the left: Dr GansenPillay (deputy executive officer of the NRF), Emile Goofo (Cameroon), his son Tylio in the arms of Prof Nicky Morgan (Vice-Rector: Operations), Avelino Mondhane from Stockholm University (originally from Mozambique) and Prof Neil Heideman (Dean of the Faculty of Natural and Agricultural Sciences).
Photo: Leatitia Pienaar
05 March 2013

“I must congratulate the University of the Free State on doing something like this,” Dr Gansen Pillay said at the farewell function for the participants in the Southern African Young Scientists Summer Programme (SA-YSSP) at the UFS.

The 19 young scientists from 16 countries completed their three-month programme at the end of February 2013. As another step in the process the participants must write articles for reputable journals and complete their doctoral studies. Their performance in the research world will also be tracked.

Dr Pillay, deputy executive officer of the National Research Foundation (NRF), said an investment was made in the researchers to secure the future of the programme. A lot of persuasion and proof was necessary to convince the Austrian Institute for Applied Systems Analysis (IIASA) that a programme of this nature could be presented in Africa.

The SA-YSSP was hosted and managed by the UFS. The programme was developed by the NRF in collaboration with the Department of Science and Technology (DST) and IIASA into a novel and innovative initiative.  The official launch was by the Minister of Science and Technology during November 2011.

The SA-YSSP will be an annual three-month education, academic training and research capacity-building programme. Aligned with the YSSP model, annually presented in Austria, the SA-YSSP offered scientific seminars covering themes in the social and natural sciences, often with policy dimensions, to broaden the participants’ perspectives and strengthen their analytical and modelling skills, further enriching a demanding academic and research programme.

Prof Martin Mtwaeaborwa, SA-YSSP deputy dean, said the academic performance of the young scientists superseded the expectations. “I hope the scholars will look back at the programme as the moment their careers began.”

The added, “The UFS received positive remarks for organising the programme and we hope to get it again in future.”

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