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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

SARChI Chair on disease resistance and quality in field crops awarded in UFS Department of Plant Science
2016-02-01

Description: SARChI Chair Tags: SARChI Chair

Prof Labuschagne

A South African Research Chairs Initiative (SARChI) chair has been awarded in the Department of Plant Sciences at the University of the Free State (UFS). The chair will be headed by Prof Maryke Labuschagne, and will focus on crop quality breeding and disease resistance in field crops.

The disease resistance research by the chair will be headed by Prof Zakkie Pretorius. The disease resistance breeding will be a continuation of the internationally-acclaimed wheat rust research that Prof Pretorius has been conducting during his career.

The quality breeding will focus on crop protein quantity and quality as well as on iron, zinc, and beta carotene biofortification of staple crops such as wheat, maize, and cassava.

Prof Labuschagne believes that food security is one of the key factors for stability and prosperity on the continent. Her research and that of her students focuses on the genetic improvement of food security crops in Africa, including such staples as maize and cassava. “These crops are genetically improved for yield, drought tolerance, disease, and insect resistance, as well nutritional value,” she said.

Last year, one of  Prof Labuschagne’s PhD students, Bright Peprah, received an award for $473 000 from the competitive Program for Emerging Agricultural Research Leaders (PEARL) of the Bill and Melinda Gates Foundation for his project on improving the beta-carotene content in cassava.

Prof Labuschagne also received the prestigious ‘Continental Lifetime Achiever Award’ from Africa’s Most Influential Women in Business and Government Programme (MIW) last year for her commitment and continuous contributions to food security. She is an NRF-rated researcher, and author or co-author of over 160 articles in accredited journals.

Research Chairs have been designed by the Department of Science and Technology, together with the National Research Foundation, to attract and retain excellence in research and innovation at South African public universities. 

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