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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

Female-headed households more prone to economic strains due to rainfall variations
2016-02-02

Description: Martin Flatø Tags: Martin Flatø

Martin Flatø
Photo: University of Oslo press

Research shows that a total of 41 % of South African (SA) households are led by women, and these households are twice as likely to be poor compared to other households.

Martin Flatø spent three months at University of the Free State (UFS), researching how female-headed households in our country are affected by variations in rainfall, which cause crop failures with their implications for rural economies.

He is a PhD student from the University of Oslo in Norway who was part of the 2014/15 Southern African Young Scientists Summer Programme (SA-YSSP) that was hosted by the UFS last year.

Flatø formed part of a group of international scholars who conducted research on how families led by females are affected by climate change. The group focused on the implications of the weather on crop failures and rural economies. Gender and household structures were studied to determine ways in which they are affected by economic fluctuations.
 
The research group’s preliminary findings indicate that female-headed households are more vulnerable to rainfall variation than households where there are adult residents or workers of both genders.

In view of the current water shortage in the Free State, as well as scientists’ projections that our country will be among the regions hardest hit by climate change in terms of a surge in temperature, Flatø’s collaborative research has substantial relevance.|

Grooming first class scientists
The SA-YSSP is a joint initiative of South African National Research Foundation and the International Institute of Applied Systems Analysis (IIASA). Its main aim is tackling challenges faced by the world at large and South Africa in particular.

Out of 24 PhD students from 18 countries and various academic disciplines, Flatø emerged as one of only three scholars to be awarded the Systems Analysis Scholarships for his outstanding science at the end of the programme.

World class mentorship
Prof André Pelser and Dr Raya Muttarak were Flatø’s SA-YSSP supervisors. Prof Pelser, of the UFS Department of Sociology, is a leading academic on population processes, and how they relate to local environmental issues in South Africa. Dr Muttarak is a research scholar at IIASA in Austria.

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