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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

Prestigious awards, membership and two A-ratings from the NRF indicate a boom in research
2014-12-04

Several UFS researchers were honoured with awards this year. This includes, from the left: Prof Jeanet Conradie from the Department of Chemistry, Dr Aliza le Roux from the Department of Zoology and Entomology on the Qwaqwa Campus of the UFS, Profs Jonathan Jansen, Vice-Chancellor and Rector of the UFS.
Photo: Hannes Pieterse

The University of the Free State (UFS) had several highlights in the field of research this year. This includes two A-ratings, which were awarded by the National Research Foundation (NRF) to Prof Maxim Finkelstein from the Department of Mathematics and Actuarial Science, and Prof Melanie Walker, Senior Research Professor and Director of the Centre for Research on Higher Education and Development (CRHED) and DST/NRF Chair in Higher Education and Human Development.

Prof Finkelstein’s A2-rating makes him the only A-rated researcher in ‘Probability and Statistics’ regarding Mathematical Sciences in the country. Prof Walker was evaluated in the division for Research, Innovation Support and Advancement and received an A1-rating.

Prof Jonathan Jansen, Vice-Chancellor and Rector of the UFS, considers these ratings as one of the clearest signs that the standard for research across the institution has increased significantly.

Prof Jansen was honoured with the Academy of Science of South Africa’s (ASSAf’s) Science-for-Society Gold Medal for his outstanding achievement in scientific thinking to the benefit of society.

"An award such as this recognises the power of science and scholarship to improve the human condition," Prof Jansen said.

A further highlight at ASSAf’s prestigious annual awards ceremony was the induction of Prof Jeanet Conradie from the Department of Chemistry and Dr Aliza le Roux from the Department of Zoology and Entomology on the UFS’s Qwaqwa Campus as new members of ASSAf.

Prof Conradie was also this year’s first runner-up in the senior category for Distinguished Women Researchers: Physical and Engineering Science in the Department of Science and Technology’s 2014 Women in Science Awards.

Prof Corli Witthuhn: Vice-Rector: Research, describes Prof Conradie as a highly productive researcher who publishes in high-impact journals.

“Not only is she the first female professor in the Department of Chemistry, but she also has extensive international networks and collaboration which elevates the impact of her work even further,” Prof Witthuhn said.

Dr Le Roux is one of ten young researchers inaugurated as members of the South African Young Academy of Science (SAYAS). She was also elected to serve on the executive committee of SAYAS. According to Prof Witthuhn, Dr Le Roux is an outstanding young scientist.

“I am very excited about the young researchers on our Qwaqwa Campus, with Aliza as one of the leaders, and I am looking forward to what they will achieve in the next five years,” she said.

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