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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

Democracy and traditional leadership in rural areas explored
2017-09-22

Description: Democracy Tags: Democracy, customary law, human rights, research, constitution 

Prof Lungisile Ntsebeza, recipient of the NRF Hamilton
Naki Award
Photo: Supplied


The Free State Centre for Human Rights held a presentation by Prof Lungisile Ntsebeza on 7 September 2017 at the University of the Free State (UFS) Bloemfontein Campus on the topic of democracy and traditional leadership in rural areas. Prof Ntsebeza is the holder of the AC Jordan Chair in African Studies at the University of Cape Town and the holder of the National Research Foundation (NRF) Research Chair in Land Reform and Democracy in South Africa. 

Conflict between democracy and traditional rule
The topic of democracy and traditional leadership in the rural areas is an example of the tension between democracy and customary law governing the appointment of traditional leaders (headmen) that is currently at play in many parts of the country. Prof Ntsebeza made reference to a court case in the Eastern Cape, where a community successfully challenged the appointment of a headman by the royal family of the area. The contention was whether royal families could appoint headmen in rural communities or if those communities ought to democratically elect their own leaders. He argued that in this specific case, the democratic imperatives of the Constitution did not conflict with customary law because of the particular communal practice of electing leaders. 

The Constitution and customary law
The Constitution of South Africa recognises customary law provisions which are not in conflict with its fundamental values. Difficult legitimacy problems may arise where customary practices are different from those governing this particular case. Ultimately the Constitutional Court would be called upon to resolve inherent tensions and develop customary law in line with the direction foreseen in the Constitution.

Student engagement as a vehicle for change
The event was attended by UFS staff and fourth-year LLB students in the Faculty of Law, and was funded by the Free State Centre for Human Rights at UFS. The programme is one of several that the centre seeks to utilise in engaging students with researchers and scholars in the field of law and human rights. Prof Ntsebeza has given academic presentations on various related and trending topics in the current academic climate, such as decolonising the curriculum, Cecil John Rhodes and others. He was recently awarded the Hamilton Naki Award at the 2017 National Research Foundation Awards.

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