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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

Babies need time on their tummies
2009-08-07

 
Babies who spend more time on their tummies (in the prone position) when they are awake are more advanced in their motor development than children who are not allowed to lie on their tummies, or only for short periods, shows research published by Ms Dorothy Russell in the South African Journal of Occupational Therapy. Ms Russell is a senior occupational therapist in the Department of Paediatrics and Child Health in the Faculty of Heath Sciences at the University of the Free State (UFS). The study shows there were significant differences in the active movements of the arms and the pushing-up on the arms between prone and non-prone infants.

She says research and clinical evidence indicate that parents are not well educated regarding the value of placing their infants in the prone position during the early stages of infancy. The supine position where babies lie on the backs, leads to a decrease in the sudden infant death syndrome (SIDS), and mothers steer away of putting their babies in the prone position because of that. However, lack of exposure to prone position can result in deceased opportunities to learn functions such as rolling over, sitting up, crawling and pulling to the standing position.
Photo: Leatitia Pienaar

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