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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 extends footprint abroad
2015-12-14

In its constant pursuit of research excellence, the UFS has this year performed well in mainly two areas.

Apart from the research done by the UFS on national level, e.g. the involvement of its researchers with the SKA telescope, the pioneering work they do with the satellite tracking of giraffes, as well as research on trauma, forgiveness and reconciliation – to name but a few of the research areas, the university also has a research focus abroad.

Japan, Europe, America and Botswana. These are just some of the places where academics from the university are involved in research abroad.

Japan

Dr Dirk Opperman, Senior Lecturer at the Department of Microbial, Biochemical and Food Biotechnology, and Carmien Tolmie, a PhD student in the same department, visited the Okinawa Institute of Science and Technology in Onna, Japan, during November and December 2014. During the visit, experiments were performed in the Microbiology and Biochemistry of Secondary Metabolite Unit of Dr Holger Jenke-Kodama.

This formed part of a larger NRF-funded project on carcinogenic toxins produced in certain Aspergillus fungi. These fungi infect food and feedstuff and are a big concern in developing countries because it may lead to severe economic losses. The research ultimately aims to find inhibitors to block the production of these fungal toxins.



Europe and America

In 2012, an international network was established in the frame of the FP7-PEOPLE-2011-IRSES programme, called hERG-related risk assessment of botanicals (hERGscreen). The South African group included Dr Susan Bonnet and Dr Anke Wilhelm, both from the UFS Department of Chemistry.

Extracts from more than 450 South African plant species have been investigated systematically to assess the potential cardiotoxic risk of commonly consumed botanicals and supplements. The idea of the project, funded by the European Commission, is to identify safety liabilities of botanicals.

Other international partners included the University of Innsbruck, National and Kapodistrian University of Athens, Biomedical Research Foundation of the Academy of Athens, University of Basel, University of Vienna, University of Florida, Universidade Federal do Rio Grande do Sul, Universidade Federal de Santa Catarina.

Botswana


A memorandum of understanding was signed between the UFS and Botho University in Botswana in September 2015, which will be valid for three years.

The agreement, includes student and staff exchange programmes, collaborative research, teaching and learning and community engagement activities, sharing of results, and PhD/ MPhil guidance.

Young researchers

Another research focus of the UFS is the development of its young researchers. In 2015, the UFS has delivered 13 Y-rated researchers. Ten of the researchers are from the Faculty of Natural and Agricultural Sciences and three from the Faculty of the Humanities. Three of them received an Y1 rating from the NRF.

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