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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

Professor from Cambridge University addresses young scholars
2017-07-18

 Description: Cambridge readmore Tags: : Young Scholars Initiative, International Studies Group, University of Cambridge, University of the Free State, Prof Gareth Austin 

In the first conference of its kind on the African continent,
the Universityof the Free State’s Bloemfontein Campus
was privileged to host the Young Scholars Initiative conference.
Photo: Siobhan Canavan


“It doesn’t matter where a concept originates from if it works. The problem arises when the concept does not work.”

These were the words of Prof Gareth Austin in his address at the Young Scholars Initiative (YSI). His keynote focused on the “Economic History in Africa’s Decolonisation and Development”.

The African economic history

Prof Austin, a professor in Economic History at the University of Cambridge, discussed how African economic history has always been about development, and also gave a brief periodisation of the economic historiography of Africa.

In his closing remarks he focused more on history and economics. “Economics is a sensible approach to take, where history matters because of the sense of context.”

Reflecting on the African experience

A total of 65 young and senior scholars from five continents attended the conference Decolonising Africa? The Economic History of Development, hosted by the YSI in partnership with the International Studies Group at the UFS.

The conference, held from 8 to 9 June 2017, provided an opportunity to reflect on the African experience from an historical perspective and to assess the current position of the continent in the global economy. It discussed new themes in development, such as the role of women, minorities, and entrepreneurs.

The conference focused on how the business community has operated in an Africa that still faces inequalities and unfair terms of trade and lacks a unified political will.

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