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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

Moeletsi Mbeki discusses South Africa’s political economy
2012-08-17

At the guest lecture was, from the left: Johann Rossouw, lecturer in the Department of Philosophy, Mr. Moeletsi Mbeki, and Prof. Pieter Duvenage, Head of the Department of Philosophy.
Photo: Johan Roux
17 August 2012

South Africa’s ongoing problems do not have their origin in the apartheid dispensation but in the British colonial period. This is according to the well known businessman and political analyst, Mr Moeletsi Mbeki, who was speaking during a guest lecture at the University of the Free State.

Mr Mbeki said the high unemployment rate among Blacks arose from the destruction of the Black small farming class in the last third of the 19th century to provide cheap labour to the developing mining sector. He said the notorious Land Act of 1913 was not the root of Black people’s loss of land but merely the legal formalisation thereof. Mr Mbeki emphasised that as long as it was argued that South Africa’s problems arose during the apartheid dispensation, problems would remain unsolved.

Regarding South Africa’s future, Mr Mbeki argued that three issues in particular were important – South Africa’s industrialisation, which ground to a halt in the 1970s, should be revived; the large scale training of industrialists with special emphasis on mathematics, science and the broader education system; and post-nationalist politics, of which parties such as Zimbabwe’s MDC, Zambia’s MMF and Mauritius’s MMM were outstanding examples.

The guest lecture was presented by the Department of Philosophy. More than 200 people attended the lecture and participated enthusiastically in the question and answer session. Afterwards, Mr Mbeki said he was impressed with the high level of the questions asked by students, which he said gave him hope for South Africa’s future.

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