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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

International conference on breaking cycles of the past in societies affected by historical trauma presented from 5-8 December 2012
2012-11-28

Marguerite Barankitse from Burundi
28 November 2012

An interdisciplinary group of scholars, experts and practitioners from 24 countries around the world will gather at the University of the Free State (UFS) in Bloemfontein from 5 - 8 December 2012 for a conference on “Engaging the Other: Breaking Intergenerational Cycles of Repetition.”

The conference intends to open new avenues of inquiry into the trans-generational effects of trauma on communities that have experienced extreme violence.

One of the highlights of the conference is a presentation by Marguerite Barankitse, a survivor of the Rwandan genocide, on Thursday 6 December 2012. Marguerite has received several awards and distinctions for her work aimed at transforming the lives of Hutu and Tutsi children affected by war. Among these are the highly prestigious humanitarian prize, the Opus Prize, the UNESCO Prize, and the World's Children's Prize, also known as the ‘Nobel Prize’ for humanitarian work aimed at improving the lives of children and their chances of a better future.

On Saturday 8 December 2012 Prof. Martha Nussbaum, one of the world’s foremost philosophers, will deliver a keynote address on “Reconciliation: The political role of the Arts.” Prof. Nussbaum will receive a D.Litt. degree in the Faculty of Humanities from the UFS on 6 December 2012.

Other guests include Michael Lapsley, survivor of an apartheid bombing, Kimberlyn Leary, Associate Professor at Harvard Medical School,  Dr Jean Decety, Irving B. Harris Professor at the University of Chicago and Dr Katerina Fotopoulou from the Institute of Cognitive Neuroscience at the University College in London.

One of the conference events entitled “South Africans speak about the crisis of moral leadership: A public dialogue” will be open to the public and presented in the Centenary Complex on Friday 7 December 2012 from 18:00-19:30. Participants in the public dialogue include some of South Africa’s most thoughtful social commentators and a community activist: Barney Pityana (Professor and Rector, College of Transfiguration); Prince Mashele (Director: Centre for Politics and Research); Pierre de Vos (Professor of Law, University of Cape Town); and Faeza Meyer (Chairperson: Tafelsig Residents Unite).

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