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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

Prof Luyt says young researchers should not allow circumstances to determine their future
2016-02-01

Description: Prof Riaan Luyt Tags: Prof Riaan Luyt

Prof Riaan Luyt, an NRF B-rated researcher
Photo: Supplied

Young researchers, who spend their life at a disadvantaged and rural campus like the University of the Free State’s Qwaqwa Campus, should not be deterred from achieving their dreams.

This is the view of Prof Riaan Luyt, former Assistant Dean in the Faculty of Natural and Agricultural Sciences, who achieved his B-rating by the National Research Foundation (NRF) late in 2015. This was by far the highest-ever rating on the Qwaqwa Campus.

“When I moved to the Qwaqwa Campus many years ago, having had the opportunity to do a post-doctoral fellowship in Polymer Science at the Leeds University in the United Kingdom, I was determined to get the Department of Chemistry off the ground, and to embark on serious research,” said Prof Luyt, who is now the Affiliated Professor in the Department of Chemistry and Research Associate Professor at the Centre for Advanced Materials, based at Qatar University.

“It was through sheer determination that I managed to obtain enough funds to equip a decent research laboratory. There were many obstacles over the years, but I managed to attract more and more postgraduate students and published more,” he said.

At first, Prof Luyt was not successful with his NRF-rating applications.

“My first couple of attempts to get rated produced no success. I was then awarded a C3-rating, which was later followed by C2 and then C1,” he added. “Getting a B-rating is the highlight of my research career. It shows that it can be done. Young researchers should not allow their past or present circumstances, or their work environment to stand on their way,” said Prof Luyt, who has supervised 38 master’s and doctoral students as well as 11 postdoctoral fellows. He has also published 185 papers in international and accredited journals.

Although abroad, Prof Luyt will continue to supervise eight postgraduate students at the Qwaqwa Campus.

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