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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

More grey areas than just black and white in history?
2017-12-15


Description: Abraham Mlombo readmore Tags: Historic, historian, International Studies Group, ISG  

Dr Abraham Mlombo: As a historian, he draws energy
from the people surrounding him.
Photo: Charl Devenish


 

Very few people understand that their actions and views within a territory stem from their roots or history. To enlighten the reading man on the composition of his base and the intricacies of the powers that are at play, is the work of historians.

Dr Abraham Mlombo is one of these historians, stationed within the International Studies Group at the University of the Free State (UFS).

This research group consists of postgraduate researchers, postdoctoral fellows, and academic staff that focus on African history, although they depart from more traditional study methods  a more global perspective. To date, Dr Mlombo's research examined the historical relations between South Africa and Southern Rhodesia. It was a broad study of the political, economic, social, and cultural relations from 1923 to 1953. He plans to continue by truly exploring the connections between South Africa and the region, and how they shaped one another. Dr Mlombo's interests in cross-border history and politics were inspired by his master’s degree in Political Science at Stellenbosch University. He researched his PhD at the UFS.

He draws energy for his work from the people surrounding him, and likes to be part of new experiences with people from different backgrounds. He feels such environments shape the way one works, as well as one’s world view. Dr Mlombo hints that sometimes, and specifically in South Africa, people focus very narrowly on their history and forget that many international links are at play. He sees his work as a historian to help open people's horizons.

Dr Mlombo suggests that future research should include a more critical analysis of how things unfolded during the second half of the 20th century. Writings should include more social- and people-oriented history, because he thinks there are more grey areas than just black and white. Many more interrogations must also follow into the assumptions of historical events and the individuals who played the greatest roles in Southern Africa.

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