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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

UFS’s Unit for Children’s Rights instrumental in helping human trafficked victim
2010-03-29

Adv. Beatri Kruger.
Photo: Leonie Bolleurs
“Wheeling and dealing is part of our daily life. But what if the ‘product’ bought or sold is not a spanner or a cell phone, but a living human being? Disturbing news came to the fore... apart from other places in the country, and for that matter all over the world, it was discovered that people are treated like commodities here in Bloemfontein as well,” said Adv. Beatri Kruger from the Unit for Children’s Rights at the University of the Free State (UFS).

Adv. Kruger was instrumental in completing and availing the first comprehensive Research Report on Human Trafficking in South Africa to the public on 23 March 2010. As a member of the Reference Group advising on interim research reports on human trafficking, she contributed to the report. The report proves to be an extremely valuable tool for, among others, government departments and non-governmental organisations that use it as a guideline in planning interventions to combat human trafficking.

The Unit for Children’s Rights is also one of the founding members of the Free State Human Trafficking Forum (FHF). To react on and fight the disturbing reality of human trafficking more efficiently, a number of concerned role players such as Child Welfare and other non-governmental organisations, police officials, prosecutors, social workers, health practitioners, private businesses, churches and community organisations joined forces and formed the FHF. The Unit for Children’s Rights hosts monthly meetings at the UFS to facilitate the coordination of this multi-disciplinary counter-trafficking team.

Adv. Kruger is very excited about some of the successes of the FHF; such as the story of Soma (not her real name). This Indian woman was recruited in India by an Indian couple who are staying in South Africa, by promising her a good job in South Africa. However, instead of finding the promised job, Soma was extensively exploited for labour purposes. With the help of a “good Samaritan” she managed to escape from the perpetrators and fled to the police. Soma was removed to ensure her safety and accommodated in a safe place in Bloemfontein. Counselling and other services were rendered to her by an organisation which is also a member of the FHF. One of the challenges facing Soma and the service providers was that Soma speaks a foreign dialect and for weeks a trusted interpreter could not be found.

This obstacle rendered communication with her to the bare minimum. The perpetrators were arrested but unfortunately the new comprehensive counter-trafficking law is not in force yet. Therefore the perpetrators could only be convicted of some offences in the Immigration Act. However, due to good police investigation followed by shrewd consultations, the perpetrators agreed to pay for the victim’s return flight to India as well as for the flight ticket of the investigating officer to escort her to safety. The Unit for Children’s Rights did networking with Ms Maria Nikolovska of the International Organisation for Migration (IOM), who agreed to assist in the safe reintegration of Soma in India. Soma is now on her way back home.

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