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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

Gauteng business community experiences UFS
2010-09-23

Prof. Matie Hoffman from the Department of Physics of the UFS, presenting at the Boyden Observatory to a group of business executives from Gauteng, during their recent visit to the university.
Photo: Gerhard Louw

The University of the Free State’s (UFS) Corporate Liaison Office recently hosted a group of eleven business men and women from the private sector in Gauteng on its Main Campus in Bloemfontein. The purpose of the campus visits, which are held two to three times a year, is to give representatives from the corporate sector the opportunity to get to know the UFS first-hand and to help build the brand of the university as a national asset.

During their visit the group of business men and women, amongst others, met with faculty members, they enjoyed a networking session with UFS staff at the Oliewenhuis Art Museum, visited the Unit for Students with Disabilities as well as the Department of Paediatrics and Child Health.

The day ended at the Boyden Observatory where a feedback session was facilitated by Prof. Jonathan Jansen, Rector and Vice-Chancellor, and Prof. Ezekiel Moraka, Vice-Rector: External Relations. After this opportunity where the visitors discussed their experience of the UFS, the day came to an end with a presentation on: The African skies: Stories and science by a Ph.D. candidate from the Department of Physics, Mr Bosco Oruru. One of the highlights of the evening included a sighting of the Hubble Telescope in the sky over Bloemfontein and observing the moon and Venus through one of the Boyden telescopes.

The visitors left with new insights and a great appreciation for the contribution of the UFS to education, research and community service in South Africa.

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