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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 Beatri Kruger conducts research on modern-day slavery
2014-12-12

 

Representatives of the US Embassy in South Africa and other stakeholders gathered in Bloemfontein in November 2014.
From the left are: San Reddy and Chad Wessen from the US Embassy, Prof Beatri Kruger, and Palesa Mafisa, Chairperson of the Kovsie National Freedom Network.

Human trafficking is a multi-billion dollar ‘business’ with daunting challenges because of the uniqueness and complexities involved in the crime, says Prof Beatri Kruger, ex-prosecutor and lecturer in Criminal Law in the Faculty of Law.

Prof Kruger’s on-going research concentrates on whether South Africa’s legal efforts to combat human trafficking complies with international standards set out in the United Nations Trafficking Protocol of 2000 and other relevant international treaties.

Since the completion of her studies, the Prevention and Combatting of Trafficking in Persons Act of 2013 was passed in Parliament, but needs to be promulgated. This means South Africa is still a long way from complying with the UN protocol. A delegation of the US Embassy in South Africa recently visited the Faculty of Law on the Bloemfontein Campus. The purpose of their visit was to gain information for the US Department of State’s comprehensive 2015 report on trafficking in persons.

Prof Kruger’s current research focuses on the new legislation in collaboration with other national and international stakeholders. One of the focus areas is how traffickers control their victims. This research enhances the understanding of why victims often do not seek help, do not want to be ‘rescued’ and why they return to the very traffickers who have brutally exploited them.

The recently released Global Slavery Index 2014 estimates that 36 million people are living as slaves worldwide and that 106 000 of them are in South Africa. This report states that ‘modern slavery’ includes human trafficking, forced labour, forced marriage, debt bondage and the sale of children. The International Labour Organization estimates the illicit profits of forced labour to be US $150 billion a year.

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