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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

Patricia de Lille: “Know the difference between right and wrong.”
2010-03-04

From the left are: Jeanie Britz, MBA student; Garth Botha, MBA student; Ms De Lille; Prof. Tienie Crous, Dean: Faculty of Economic and Management Sciences at the UFS; and Prof. Helena van Zyl, Director: School of Management at the UFS.
Photo: Stephen Collett


Ms Patricia de Lille, the Leader of the Independent Democrats, recently paid a visit to the School of Management at the University of the Free State (UFS). She spoke to students in the MBA programme about the leadership challenges South African business leaders are facing.

Ms De Lille voiced her opinion on many current issues, such as corruption. “Business is standing back with its arms folded and leaving everything to government. In fact, business is doing something very similar to what it was doing during apartheid,” she said.

She added that a business leader and his or her business could be found behind every corrupt transaction. “It is a relationship involving more than one party. If someone accepts a bribe, someone else is paying a bribe,” she said.

Ms De Lille lashed out at business leaders who received extravagant salaries and bonuses even after they had been asked to leave the company. “South Africa needs a new generation of business leaders that truly know the difference between right and wrong,” she pointed out. “And it’s wrong to demand the rest of your contract’s money and bonus after you have been fired because you obviously didn’t do your work.”

Ms De Lille also focused on the role that South African business played. Business should engage with the government to identify problems and find solutions to speed up transformation. “We need young entrepreneurs that are patriotic and think out of the box,” she said.

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