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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

Inspiration from an Olympic Champion for Spring graduandi
2012-09-20

Photo: Hannes Pieterse
20 September 2012

The guest list for the Spring Graduation ceremony of the University of the Free State included an Olympic gold medallist, a former Miss South Africa finalist and the Prime Minister of a neigbouring country.

The new graduates could draw inspiration from Olympic swimming champion Chad le Clos, who was the guest speaker at the event. Also attending was the Prime Minister of Lesotho, the Honourable Thomas Thabane, who came to watch his grandson graduating from Kovsies. Sharing a stage with Le Clos was Rolene Strauss, a medical student, who was among the top five contestants at last year’s Miss South Africa competition.

Le Clos, who became a national hero in July when he won a gold medal in the 200 m butterfly at the Olympic Games by beating American swimming legend Michael Phelps, told new graduates to strive for the impossible. Giving them insight into his remarkable achievement, Le Clos told them nobody had expected him to beat Michael Phelps. “Even I thought it was impossible to achieve. Always have a goal and work towards it,” he told them and said his ambition was to build up swimming in South Africa. Le Clos said he hoped that by 2016 there would be more swimmers making South Africa proud.

Prof. Jonathan Jansen, Vice-Chancellor and Rector of the university, delivered an Olympic-inspired message. Quoting the motto of the modern Olympic Games, ‘faster, higher and stronger’, Prof. Jansen told the new graduates that they had to be better than those who came before them. “I expect my students in a troubled country to learn how to be different, faster, higher and stronger. Faster means efficiency; it means to be responsive to those in need."

Drawing lessons for the country from Le Clos' victory, Dr Khotso Mokhele, Chancellor of the University, told the graduates to choose optimism. Referring to the Marikana mine tragedy, Dr Mokhele said the country was far from taking the last stroke. “Even if it looks as if the curtain is down; remember that final stroke of Chad le Clos and how the great Michael Phelps was defeated.”
 

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