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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

Winter school for international visitors
2011-07-28

 
Here are, from the left, front: Vinita Verma (India), Gayatai Sharma (India), Ambar Istiyani (Indonesia); back: Frank Nieuwenhuizen (Netherland); Vicky Hölsgens (Netherland) and Dewi Cahya Ambarwati (Indonesia)
Photo: Hannes Pieterse

A group of activists, postgraduate students and staff from civil society organisations are currently visiting our Bloemfontein Campus to discuss issues of diversity and development. The group of 19 people from countries such as India, Indonesia, Uganda, the Netherlands and South Africa are part of the 2011 annual international winter school on Pluralism and Development, which is hosted by our International Institute for Studies in Race, Reconciliation and Social Justice. It is the first time that the winter school is held in South Africa since its launch in 2004.

The first class of the winter school started on 11 July 2011 and participants attend daily lectures where they engage in critical thinking about issues such as sustainable development, identity, reconciliation and pluralism. On Thursday 21 July 2011 our Vice-Chancellor and Rector, Prof Jonathan Jansen presented a lecture on reconciliation to participants where he spoke lengthily about South Africa’s traumatic past. Classes will come to an end on 5 August 2011.

During their stay at our university participants also visited Gauteng where they spent time at the Apartheid museum, Constitutional Hill and Freedom Park. Later this week they will visit our Qwaqwa Campus.

Indonesian participant, Ms. Dewi Cahya Ambarwati, said she is looking forward to the Qwaqwa visit, where she will show off her traditional dance. Ambarwati said during their visit to Freedom Park, she managed to trace back Indonesian ancestors in the museum’s slavery section. Another participant, Mr. Frank Nieuwenhuizen from the Netherlands, said the winter school is enriching because it makes you realise what it means to deal with differences.

The international Winter School on Pluralism and Development is an initiative of the Kosmopolis Institute of the University of Humanistic Studies, in cooperation with the Humanist Institute for Cooperation with Developing Countries (Hivos).

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