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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

Darwin lecture focuses on the genetic foundation of evolution
2009-05-22

 
The Department of Genetics at the University of the Free State (UFS) recently made their contribution to the story of life and survival by presenting two lectures on The genetic foundation of evolution. Prof. Johan Spies, Head of the Department of Genetics at the UFS discussed the variation that was created by mutations and how this variation was enhanced by re-combination. He also pointed out that these methods contributed relatively little to the gene pool of a species and that the expansion of the gene pool primarily took place by means of chromosome evolution. The latter also contributed to the creation of isolation mechanisms to prevent hybridism. He further emphasised the multitude of deviations of mendelian heredity, which contributed to more variation within a species.

Prof. Paul Grobler, Associate Professor from this department, next pointed out how natural selection played a role to form new species. He used various examples to indicate how the process took its course, for example, lactose intolerance. He also reported out that the man on the street mostly believed that Darwin with his theory of the survival of the fittest meant that the physically strongest species would survive. It was more a case of the one that could reproduce the fastest and the most, that would survive, he stated.

Present at the occasion were, from left front: Ms Letecia Jonker, student, Prof. Grobler, Ms Paula Spies, lecturer at the Department of Genetics and Ms Zurika Odendaal, junior lecturer at the Department of Genetics; back: Prof. Spies.
Photo: Stephen Collett

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