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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

Prof Hendrik Swart richly contributes to research of phosphors
2014-12-02

Prof Hendrik Swart
Photo: Merwelene van der Merwe

Since his appointment as the South African Research Chairs Initiative (SARChI) Chair, there has been a sharp increase in the number of papers and publications by Prof Hendrik Swart, Senior Professor in the Department of Physics at the University of the Free State (UFS). From January this year, he has already published 78 articles. Some of the journals that has published his work, includes:

• Nanotechnology (impact of 3.67)
• Dalton Transactions (impact of 4.097)
• Sensors and Actuators B: Chemical (impact 3.84)

“My biggest success, however, is the powerful group of researchers we have built over the years. Staff, postdocs and students – without them it would have been impossible. I am therefore much indebted to my groups on both the Bloemfontein and Qwaqwa Campuses.

“The good apparatus we acquired via a sponsorship from the National Research Foundation and Sasol is also one of the main reasons for this. The financial support I get from the university’s research office is of course also a contributing factor,” he says.

For the past 20 years, Prof Swart has been conducting research on any substance that glows. “I only adjust the focus to fit in with current trends,” he says.

Prof Swart believes that his research will make a contribution to the fundamental knowledge about phosphors, as well as to the training of good students for the academic and industrial world on the outside. For the man on the street, his research translates into better, brighter lights that use less energy.

His more recent research focuses on the development of nano-phosphors for light-emitting diodes (LEDS) and organic light-emitting diodes (OLED).

Prof Swart has presented papers on his research not only nationally, but all over the world – including countries in Europe and the East. Some of the most recent papers presented by him and his colleagues/postgraduate students include:

• Applications of AES, XPS and TOF SIMS to phosphor materials at die 15th European Conference on Applications of Surface and Interface Analysis 2013 in Forte Village Resort, Sardinia, Italy.
• Luminescent properties of phosphor nano thin films at the first International Symposium on Nanoparticles/Nanomaterials and Applications in Caparica (Lisbon, Portugal), where he was an invited speaker.
• Role of surface and deep-level defects on the emission of nano metal oxides at the 2014 NanoAfrica international conference, Vanderbijlpark, South Africa, where he delivered the keynote address.
• PHI systems and their modifications at KOVSIES at the PHI European User Meeting in Ismaning (Munich), Germany, where he was invited to speak.

Prof Swart also delivered the keynote address at the SETCOR International Conference on Smart Materials and Surfaces in Bangkok, Thailand. His lecture was titled, ‘Role of surface and deep-level defects on the emission and degradation of phosphor materials’.

 

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