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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

Theatre, photography, literature, and lectures: TFR Studies to showcase their success
2016-11-29

The end of the year usually introduces a mood of reflection on what was and what could have been. For Trauma, Forgiveness and Reconciliation (TFR) Studies at the University of the Free State, the past year recalls a flourish of achievements worth celebrating.

Therefore, TFR Studies held an end-of-year event to showcase the successes of 2016. This comprised lectures from leading researchers in social sciences and housing rights, the release of three new books, a theatre production, and a photo exhibition.

Description: TFR Studies to showcase their success Tags: TFR Studies to showcase their success

Lectures
Prof Anthony Collins – a leading scholar in identity and culture – will speak about violence in contemporary South Africa. Prof Collins, who holds a PhD from the University of California, Santa Cruz, has extensive knowledge in the interdisciplinary area of critical social sciences and won two national awards for teaching and learning.

In addition, housing rights activist Faeza Meyer will share her experiences of forced eviction and violence in Kapteinsklip, Western Cape. She will also talk about the process of documenting these experiences and working together with feminist historian Koni Benson.

New books
Breathe in the smell of fresh ink as Dr Samantha van Schalkwyk, Dr Kim Wale, and PhD candidate Naleli Morojele introduce their books to the public. Themes of violence and gender – pertinent to South Africa – thread through each of these books in unique ways.

Theatre
The award-winning play, AVU – directed and produced by Michelle Hoffman who is a master’s student at TFR – will be performed. The story dances between the blurry lines of reality and fantasy, between Boer and Bantu.

Photo exhibition
Lerato Machetela, a PhD candidate with TFR, has featured as one of SA’s Heroes for her work among the youth of Jagersfontein. Through an innovative method, Machetela is employing an arts-based approach to research through PhotoVoice. The result: a photo exhibition by the youth of Jagersfontein – and a rare opportunity to see the world through the eyes of a child.

 

Photo: Jagersfontein Diamonds in the Rough gumboots group, production still of AVU, and Prof Pumla Gobodo-Madikizela with the PhotoVoice exhibit.

 

 

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