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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 gets substantial grants
2013-06-10

 

At the experimental setup of the high temperature reduction oven for research in heterogeneous catalysis are, front from left: Maretha Serdyn (MNS Cluster prestige PhD bursar), Nceba Magqi (Sasol employee busy with his MSc in Chemistry) and Dr Alice Brink (Formal MNS Cluster postdoctoral fellow and lecturer in Inorganic Chemistry); back Profs Jannie Swarts (Head: Physical Chemistry), André Roodt, and Ben Bezuidenhoudt (Sasol Professor in Organic and Process Chemistry).
10 June 2013

Three research groups in the Department of Chemistry received substantial grants to the value of R4,55 million. The funding includes bursaries for students and post-doctoral fellows, mobility grants, running costs and equipment support, as well as dedicated funds for two young scientists in the UFS Prestige Scholar Programme, Drs Lizette Erasmus and Alice Brink.

The funding comes from Sasol, the THRIP programme of the National Research Foundation (NRF) and PetLabs Pharmaceuticals for the overarching thrust in Organic Synthesis, Homogeneous and Heterogeneous Catalysis. The programme has a broad focuse on different fundamental and applied aspects of process chemistry. Research groups of Profs Andreas Roodt (Inorganic), Jannie Swarts (Physical) and Ben Bezuidenhoudt (Organic / Process), principal members of the focus area of (Green) Petrochemicals in the Materials and Nanosciences Strategic Research Cluster (MNS Cluster) will benefit from the grant.

This funding was granted based on the continued and high-level outputs by the groups, which resulted in more than 40 papers featuring in international chemistry publications in merely the past year. A few papers also appeared in the top experimental inorganic chemistry journal from the American Chemical Society, Inorganic Chemistry. These high-impact papers address important issues in catalysis under the UFS Material and Nanosciences Research Cluster initiative, as well as other aspects of fundamental chemistry, but with an applied approach and focus.

Prof Andreas Roodt, Distinguished Professor and Chairperson of the Department of Chemistry, said the grants will enable the three research groups to move forward in their respective research areas associated with petrochemicals and other projects, and enable additional students in the department to benefit from it. It will also ensure that these groups can continue and maintain their research on different molecular and nano-scale materials. Current experiments include conversions under extremely high gas pressures (typical 100 times that in motor car tyres). This takes place at the molecular level and at preselected nano-surfaces, to convert cheaper feed-stream starting materials into higher value-added products for use as special additives in gasoline and other speciality chemicals.

The funding support forms part of the Hub-and-Spoke initiative at Sasol under which certain universities and specifically the UFS Department of Chemistry have been identified for strategic support for research and development. The department and the UFS gratefully acknowledge this continued and generous support from all parties concerned.

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