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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

Academics receive award from SA Academy for Science and Art
2009-07-02

 
The South African Academy for Science and Art recently celebrated its centenary year on the Main Campus of the University of the Free State (UFS) in Bloemfontein. Academics involved with the UFS received awards during the academy’s recent awards ceremony. A Centenary Medal was awarded to Prof. François Retief, former Rector and Vice-Chancellor of the UFS, for his achievement in the medical sciences over an extended period. The NT Steyn Medal was awarded to Prof. Andries Stulting from the Department of Ophthalmology at the UFS for achievements in the Technical and Natural Sciences and Prof. Albie van Schalkwyk, formerly from the UFS’s Department of Music, received the Huberte Rupert Prize for Classical Music.

According to Prof. Hennie van Coller, Head of the Department of Afrikaans and Dutch, German and French at the UFS and also Chairperson of the Academy, the centenary celebrations were a highlight in the existence of the academy. “For the first time in years there was a mood of optimism that could not be restrained by any differences between the attendees. Political hatchets were buried and members from different racial groups took hands for the road ahead. The continuous themes were that of excellence, which may not be sacrificed,” he said.

In his address as Chairman, Prof. van Coller emphasised that the specific niche of the Academy (the development of the higher function of Afrikaans) should not limit the organisation to also be involved in Afrikaans at grassroots level (especially rural brown people and suburban white people) who often had to deal with poverty and illiteracy and who battled for survival. The Academy had to act as facilitator and offer its expertise to people like those.

At the awards ceremony of the South African Academy for Science and Art were, from the left: Mr Jaco Jacobs, who received the Elsabe Steenberg Prize for translated Children’s and Youth Literature in Afrikaans, Prof. Hennie van Coller and Prof. François Retief.
Photo: Stephen Collett

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