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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

An article, co-authored by Kovsies’ own Miss World, Rolene Strauss, was published recently in a medical journal
2015-02-23

Rolene Strauss

The article, which deals with research on the incidence of multiple losses by children, was published in South African Family Practice.

The study was part of the third-year research project for medical students in our Faculty of Health Sciences. Rolene worked with fellow students, Leischen Branders, Mirandie Claassen, Darienne Saaiman, and Andrea van Staden. Prof Gina Joubert from the UFS’s Department of Biostatistics and Prof Hanneke Brits were the module and study leaders.

In this study, a number of cases involving Bloemfontein children experiencing loss, as well as their reaction to it, were examined.

They divided the incidents into categories in order to address the broad definition of ‘losses’.

Approximately 69% of the children in the study have experienced three or more instances of loss in their lives. About 29% of the children have experienced loss in the category Personal Loss (assault, chronic and terminal illness, amputation, malnutrition, disability, abortion, and miscarriage). The greatest number of losses occurred in the category Interpersonal Loss (87%). This group of children has had to deal with the death of one or more parents/caregivers, drug and alcohol abuse, domestic violence, divorce, homelessness, and instability. In the category, Environmental Loss, xenophobia, unsafe living conditions, inadequate support, poverty, and unemployment were looked at. A total of 82% of the children in the group have experienced losses.

Prof Hanneke Brits, study leader of the group, says the extent of multiple losses by children is a topic that hasn’t been investigated widely.

“The study shows that children should receive special attention in order to help them process the trauma. Supportive care and inter-professional services play a major role in this regard.”

 

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