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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

Land a fertile field for historians
2017-12-25


 Description: Dr Admire Mseba Tags: Dr Admire Mseba 

Dr Admire Mseba, historian and researcher in the International Studies Group (ISG).
Photo: Charl Devenish

The use of land and the economics of Southern Africa at present is a contentious subject at almost every level of society. A historian and researcher who revels in happenings in these two areas, is Dr Admire Mseba, a postdoctoral research fellow in the International Studies Group (ISG) at the UFS.

Dr Mseba grew up in the Mberengwa region in southern Zimbabwe, known for cattle farming and mineral mining. While at the University of Zimbabwe, he became interested in economic history and archaeology, and completed his PhD at the University of Iowa in the USA. During his time there, Dr Mseba also became passionate about environmental history.

A historian's ability to think and engage critically on diverse subjects drew Dr Mseba to his field. Currently, he is busy with three research projects. Firstly, he is working on a book on social relations, about access to land in Zimbabwe. He is also examining regional and national efforts to control migratory pests during the 20th century, in particular, the red locust. In collaboration with a colleague at the ISG, Dr Mseba is also researching monetary systems in central Africa, covering the present-day countries of Zimbabwe, Malawi, and Zambia.

Dr Mseba believes future research opportunities in the domains of economic and environmental history abound. For one, the land question has been very topical in Zimbabwe for more than a decade—as it is now in South Africa—and needs more scrutiny. Regarding agrarian pestilences, he indicates the recent phenomenon of armyworm invasion. “There are so many opportunities for historians to investigate. There are so many ways to think about these things and trying to put it in perspective.”

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