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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

Number of NRF-rated researchers increases in 2012
2012-10-29

29 October 2012

Three researchers at the University of the Free State received B-ratings for 2013 from the National Research Foundation (NRF). Prof. Johan Henning, Dean of Law, obtained the highest rating in his field of mercantile law in South Africa, a B1.

Prof. Jackie Naudé from Classical and Near Eastern Studies and Prof. Dingie Janse van Rensburg, Professor Extraordinary at the Centre for Health Systems Research and Development, also obtained B3-ratings. Prof. Naudé is the first B-rated researcher in the Faculty of Humanities.
Prof. Helene Strauss obtained the highest rating (Y1) for a UFS young scholar in the Humanities.
In total, the NRF rated researchers at the UFS grew from 95 in 2011 to 109 in 2012, a growth of almost 15 percent.
The NRF ratings committee consist of three reviewers from South Africa and three from abroad. A rating is valid for six years and researchers must reapply for rating before the end of that period.
For a B1-rating all reviewers must be firmly convinced that the applicant enjoys considerable international recognition for the high quality of the researcher’s recent output, with some indicating that the researcher is a leading international scholar in a field. For a B3-rating most of the reviewers must be convinced that the researcher enjoys international recognition for the high quality and impact of the research.
Prof. Jonathan Jansen, Vice-Chancellor and Rector, said in the UFS Research Report “The UFS now has among the highest number of NRF-rated scientists per size of the academic faculty and we have seen the productivity graph bear witness to a record growth in our funded research outputs; we have won our first-ever NRF/DST Research Chairs. In each of these achievements, the excellence we seek comes with and through the diversity we celebrate.”
More ratings and renewals were expected by the time of Bult went to print.. More than 35 researchers applied for ratings or renewal of ratings.
  • Colleagues who were admitted to the prestigious Academy of Science of South Africa (ASSAf) are Profs. Pumla Gobodo-Madikizela, Driekie Hay, Heidi Hudson, Lodewyk Kock, Odireleng Ntwaeaborwa, Hugh Patterton, Ian Phimister and Melanie Walker. ASSAf was established in 1996 with the mission of using science for the benefit of society. New members are elected after nomination by four existing members (at least two of whom do so from personal knowledge of the candidate). ASSAf has some 350 members and represents South Africa in the international community of science academies.
  • Dr Marieka Gryzenhout of Plant Sciences became a member of South African Young Academy of Science (SAYAS). SAYAS celebrated its first year in 2012. It was launched as a means to enable South Africa’s young scientists to fully participate in locally and internationally relevant research and development agendas. Prof. Aldo Stroebel, Director: Internationalisation, is also a member of SAYAS.

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