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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

Old Mutual Investment Group invests in our students
2013-07-22

 

Old Mutual Investment Group’s Imfundo Trust scholars with Mr Muhammad Brey (far left) and Prof Jonathan Jansen, Vice-Chancellor and Rector of the UFS (far right).
Photo: Hannes Pieterse
22 July 2013

“I am one step closer to entering the corporate world as a young woman. My dream is to work for a large firm and now it is possible,” said Melody Motaung, a B Accounting first-year student. She is one of the first recipients of the Old Mutual Investment Group’s Imfundo Trust scholarship, which was launched at the university recently.

Melody is one of seven Kovsies and 91 students countrywide to benefit from the R20 million trust, aimed at empowering black professional people in the financial sector. Kovsies is now one of eight universities whose students benefit from the trust. It already empowers students from the University of Johannesburg, UNISA, Nelson Mandela Metropolitan University, University of the Western Cape, University of Fort Hare, Stellenbosch University and Rhodes University.

”The UFS embodies the excellence and innovation we are looking for in tertiary institutions,“ Mr Muhammad Brey, trustee of the trust, said during the launch. He conveyed that the main aim of the trust is to address the shortage of black professional investors in South Africa and to expand the source of suitably qualified individuals in the asset management industry.

The seven recipients, all of them female first-year students, were encouraged by the speakers to do their part in addressing South Africa’s skills shortage in the financial sector.

Prof Hendri Kroukamp, Dean of the Faculty of Economic and Management Sciences, said with the assistance of the Old Mutual Investment Group, the students – four of them B Accounting students – will help to address the shortage of chartered accountants in the country. “As qualified financial experts, they can make a big contribution.”

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