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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

Is Al-Qaeda operating in South Africa?
2014-09-29

 
Our Department of Political Studies and Governance recently hosted a seminar with investigative journalist De Wet Potgieter – author of the book, ‘Black Widow White Widow’.During the seminar, Potgieter reflected on the research he has conducted for the book, revealing the unsettling presence of Al-Qaeda in South Africa.

The ‘White Widow’ in the book’s title refers to Samantha Lewthwaite, a British woman who was found in South Africa with a fraudulent passport. She was later linked to the Westgate shopping mall attack which took place in Nairobi, Kenya on 21 September 2013. In this mass shooting at least 67 people died and over 175 people were wounded. The Islamist group al-Shabaab – which is also linked to Al-Qaeda – claimed responsibility for the incident.

In contrast, the ‘Black Widow’ is the disclosed identity of an Afrikaans-speaking self-styled spy, who after being widowed became a counter-terrorist operative.

Potgieter’s book divulges details of Al-Qaeda paramilitary and urban warfare training on a secluded farm in the Little Karoo and reveals details of the support they receive from various local extremist groups. Potgieter’s investigation spans across two years and suggests possible future attacks from, or on, South African soil.

“South Africa plays a role in the bigger picture for Al-Qaeda Islamic terrorism,” Potgieter said. “For instance, the Navy Seal team who killed Bin Laden found reports pointing to active Al-Qaeda/Islamist presence in South Africa. South Africans need to know we are under siege by a small, well-trained Al Qaeda terrorist cell. Yet, operations – of which I know, but cannot disclose much – are also underway to contain these matters,” Potgieter added.

Potgieter’s sources suggest that Al-Qaeda has been active in South Africa since the 2010 FIFA World Cup already. The South African government seems to turn a blind eye, though, despite CIA and MI6 requests and enquiries on the matter.


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