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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

Chemistry research group receives international recognition
2016-10-28

Description: Chemistry research group  Tags: Chemistry research group

Dr Carla Pretorius mounts microcrystals with
Dumisani Kama while Pennie Mokolokolo
observe the technique.
Photo: Supplied


Crystals and crystallography form an integrated part of our daily lives, from bones and teeth, to medicines and viruses, new catalysts, jewellery, colour pigments, chocolates, analysing rocks on the moon and Mars, electronics, batteries, metal blades in airplane turbines, panels for solar energy and many more.

In spite of this, not many people know much about X-ray crystallography, although it is probably one of the greatest innovations of the 20th century, spanning the sciences. That is why this discipline is actively researched by a number of tertiary institutions around the globe as well as the Inorganic Chemistry Group of the Department of Chemistry at the University of the Free State (UFS).

Research by the Inorganic Chemistry Group includes:
•    clever design of model medicines to better detect cancer and study heart, bone and brain defects;
•    production of new compounds for making new and better automobile fuels and decrease carbon dioxide in the atmosphere;
•    generation and purification of new South African mineral resources for metals widely used in turbines which use wind energy.

A group of UFS students have received acknowledgement for their research at six international venues in the past few months.

Posters in Cameroon
Twelve postgraduate students, together with Prof André Roodt, Head of the Inorganic Chemistry division at the UFS, delivered three oral presentations, nine posters, one plenary and one keynote lecture abroad.

Four UFS students - Nina Morogoa, Pheello Nkoe, Alebel Bilay, and Mohammed Elmakki - who delivered posters at the First Pan African Conference on Crystallography in Dschang, Cameroon, received prizes for their presentations.

School and conference in Croatia

Students Orbett Alexander and Dumisani Kama were selected to attend the intense and demanding Third European Crystallographic School in Bôl, Croatia. Both Kama, Alexander and Prof Roodt gave oral presentations at the 24th Croatian-Slovenian Crystallographic Meeting at Brac Island, Croatia.

Kama, together with Dr Ferdi Groenewald, Dr Carla Pretorius and Pennie Mokolokolo, also attended the European Synchrotron Radiation Facility (ESRF) in Grenoble, France. The ESRF is a centre of excellence for fundamental and innovation-driven research. The storage ring at this laser facility can generate X-rays 100 billion times brighter than typical medical and laboratory X-ray sources.

Research in Switzerland

Kama and Mokolokolo also spent one month on research visits at the University of Zurich in Switzerland. Both Kama and Alexander were invited to present their research orally to the Institute of Inorganic Chemistry in Zurich, headed by Prof Roger Alberto.

In Basel, Switzerland, Dr Ferdi Groenewald, Dr Renier Koen, and Dr Truidie Venter all presented their research at the 30th European Crystallographic Meeting.

Prof Roodt said: “It is incredibly important that our postgraduate students get the chance to interact, discuss, and be taught by the best in the world and realise that hard work on basic and applied chemistry processes leads to broader recognition. The delegates to these international venues came from more than 60 countries and took note of our students work. With these young researchers, our future at the UFS and at Inorganic Chemistry is in good hands”.

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