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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

Student leaders reflect on post-Holocaust Germany and make connections to post-apartheid SA in study tour
2015-12-08

Njabulo Mabaso
Photo: Sam Styrax

“Our beloved South Africa (SA) has done quite a lot insofar as policy formulation to address the past imbalances is concerned. However, implementation has proven to be the biggest challenge.”

This is the view held by Nkosinathi Tshabalala, former Student Representative Council (SRC): Religious Affairs at Qwaqwa Campus of the University of the Free State (UFS), who was part of the Global Leadership Study Tour.

From 14 - 22 November 2015, a cohort of 37 outgoing SRC members studied through tours and seminars in Germany and Poland. The historical education trip was organised jointly by UFS Rector and Vice-Chancellor, Prof Jonathan Jansen, and the Student Affairs office. The study tour was supported and facilitated by the Johannesburg Holocaust and Genocide Centre.

Tshabalala added: “We know the thinking behind the likes of Reconstruction and Development Programme and the Truth and Reconciliation Commission, to mention only two. But what have these done to close the gap between the rich and the poor? What have they done to encourage proper and complete reconciliation? Germany paid for the damages which came as a result of the Holocaust, and it is time that we do the same.”

Mosa Leteane, former SRC President of the Bloemfontein Campus, echoed Tshabalala’s sentiments as they relate to the SA experience. “In light of the Rhodes Must Fall movement, one of the things that the youth was looking at were the symbols, what symbols mean, how symbols works as part of reparation and redress in a country that has come from a tragic past,” she said.

Leteane identified similarities between how our country and the two European nations have confronted the issue of trans-generational trauma and the reconciliation process, albeit in significantly differing circumstances.

“Within the first 20 years or so, it was almost like SA. Nobody wanted to talk about it, people just wanted to build the country.” Nonetheless, “the memorialisation and commemoration happened only for the last 20 years or so,” added Leteane.

Transformation of the European political, environmental, and social landscape took place only when students and the second generation began to challenge the status quo, and to lobby for transformation through the erection of memorials and monuments. Owing to the courage of the young generation, those countries were able to take meaningful steps towards transformation through an accurate narration and commemoration of history, which is a key factor in reconciliation.

Our students had the opportunity to conduct a comparative study of post-Holocaust Germany and post-apartheid South Africa in terms of how government and universities dealt with trans-generational trauma.

By being exposed to remnants of what used to be sites such as the Auschwitz-Birkenau concentration camp memorial in Poland, the young leaders were encouraged to continue their attempt at nation building and advance transformation and reconciliation.


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