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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

Trauma, Forgiveness, and Reconciliation Studies attracts global attention
2016-06-27

Description: Lerato Machetela Tags: Lerato Machetela

Lerato Machetela is on her way to
Ghent University in Belgium where
she will spend 10 months working
alongside experts in the field of
historical trauma.
Photo: Eugene Seegers

Research excellence is one of the major driving forces at the core of the University of the Free State (UFS). This striving for academic distinction has found embodiment within Trauma, Forgiveness, and Reconciliation (TFR) Studies. Headed by Research Fellow and Senior Research Professor Pumla Gobodo-Madikizela, the research unit is raking in achievements consistently.

Cornell University Distinguished African Scholar Award
Leading by example, Prof Gobodo-Madikizela received the prestigious 2016 Distinguished African Scholar Award from Cornell University recently. Being honoured with this award affirms an unusual depth of knowledge and experience in a field related to the recipient’s own work. Through this award, Prof Gobodo-Madikizela is now also affiliated with the Institute for African Development and the Psychology Department at Cornell University.

Ghent University fellowship in historical trauma
Another member of TFR has caught international attention. Lerato Machetela – a PhD student at the research unit – received an invitation from scholars at Ghent University in Belgium. Machetela will leave in September, where she will spend ten months in Ghent with experts in the field of historical trauma. She will be affiliated to their university’s Cultural Memory Studies Initiative and the Psychology Department. When Machetela submitted her PhD proposal on transgenerational transmisison of trauma among the youth in Jagersfontein to the UFS Psychology Department panel, “it was hailed as a unique project, and a first for the department,” Prof Gobodo-Madikizela says.

Description: Naleli Morojele Tags: Naleli Morojele

Naleli Morojele conducting the research
in Rwanda that has formed the basis of
her new book, Women Political Leaders
in Rwanda and South Africa: Narratives
of Triumph and Loss.

Book explores triumph and loss of female political leaders
TFR cultivates thriving authors actively, the latest being Naleli Morojele, who is pursuing a PhD in the field of Political Studies. Soon, Morojele will be launching her book, Women Political Leaders in Rwanda and South Africa: Narratives of Triumph and Loss. Through the stories of significant female Rwandan and South African leaders, the reader gains insight into these women’s early-life experiences, struggles, and successes. Perhaps even more pertinently, Morojele’s book also exposes the ways in which gender inequality still works to smother their roles as citizens and politicians.

 

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