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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

UFS boasts with world class research apparatus
2005-10-20

 

 

At the launch of the diffractometer were from the left Prof Steve Basson (Chairperson:  Department of Chemistry at the UFS), Prof Jannie Swarts (Unit for Physical and Macro-molecular Chemistry at the UFS Department of Chemistry), Mr Pari Antalis (from the provider of the apparatus - Bruker SA), Prof Herman van Schalkwyk (Dean:  Faculty of Natural and Agricultural Sciences at the UFS), Prof André Roodt (head of the X-ray diffraction unit at the UFS Department of Chemistry) and Prof Teuns Verschoor (Vice-Rector:  Academic Operations at the UFS).

UFS boasts with world class research apparatus
The most advanced single crystal X-ray diffractometer in Africa has been installed in the Department of Chemistry at the University of the Free State (UFS).

“The diffractometer provides an indispensable technique to investigate compounds for medicinal application for example in breast, prostate and related bone cancer identification and therapy, currently synthesized in the Department of Chemistry.  It also includes the area of homogeneous catalysis where new compounds for industrial application are synthesised and characterised and whereby SASOL and even the international petrochemical industry could benefit, especially in the current climate of increased oil prices,” said Prof Andrè Roodt, head of the X-ray diffraction unit at the UFS Department of Chemistry.

The installation of the Bruker Kappa APEX II single crystal diffractometer is part of an innovative programme of the UFS management to continue its competitive research and extend it further internationally.

“The diffractometer is the first milestone of the research funding programme for the Department of Chemistry and we are proud to be the first university in Africa to boast with such advanced apparatus.  We are not standing back for any other university in the world and have already received requests for research agreements from universities such as the University of Cape Town,” said Prof Herman van Schalkwyk, Dean:  Faculty of Natural and Agricultural Sciences at the UFS.

The diffractometer is capable of accurately analysing molecules in crystalline form within a few hours and obtain the precise geometry – that on a sample only the size of a grain of sugar.   It simultaneously gives the exact distance between two atoms, accurate to less than fractions of a billionth of a millimetre.

“It allows us to investigate certain processes in Bloemfontein which has been impossible in the past. We now have a technique locally by which different steps in key chemical reactions can be evaluated much more reliable, even at temperatures as low as minus 170 degrees centigrade,” said Prof Roodt.

A few years ago these analyses would have taken days or even weeks. The Department of Chemistry now has the capability to investigate chemical compounds in Bloemfontein which previously had to be shipped to other, less sophisticate sites in the RSA or overseas (for example Sweden, Russia and Canada) at significant extra costs.

Media release
Issued by:Lacea Loader
Media Representative
Tel:   (051) 401-2584
Cell:  083 645 2454
E-mail:  loaderl.stg@mail.uovs.ac.za
19 October 2005   

 

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