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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

Living proof of transformation
2012-07-18

Prof. Pumla Gobodo-Madikizela (middle) facilitated a dialogue with Archbishop Emeritus Desmond Tutu and Prof. Mark Solms on the Transformation in the Solms-Delta Wine Estate.
Photo: Johan Roux
18 July 2012

 “We have the capacity to make a success of South Africa. We have incredible people who refuse to leave the country and want to make a difference.” This is according to Archbishop Emeritus Desmond Tutu who was speaking at the University of the Free State (UFS) today.

Dr Tutu took part in a dialogue with Prof. Mark Solms, owner of the Solms-Delta wine estate in Franschhoek.Prof. Solms is also an A-rated scholar and the Head of the Department of Psychology at the University of Cape Town.The theme of the dialogue was “Living Reconciliation: Winds of Change in Franschhoek and Transformation at Solms-Delta Wine Estate”.

Prof. Solms led an initiative to transform the lives of farm workers on the estate through the Wijn-de Caab Trust. This initiative was extended to empower the wider community of farm dwellers when Prof. Solms co-founded the Delta Trust and the Franschhoek Valley Transformation Charter.

The dialogue was the second in the Dialogue between Science and Society series and was facilitated by Prof. Pumla Gobodo-Madikizela, Senior research professor on Trauma, Forgiveness and Reconciliation at the UFS. The Dialogue series aims to inspire new ways of thinking about responsible citizenship. It also highlights the unique and important ways of engaging with the critical issues of social equality, social justice, social transformation and reconciliation in South Africa.This morning Dr Tutu said the work done in the Franschhoek community is proof that people cannot prosper alone if others are also not prospering. “We belong together. Why did it take us so long to realise it? South Africans have the capacity to make South Africa a better place. It is unacceptable that people go hungry and go to school under trees. It is unacceptable that they still have no books in the third term, and that the pass rate is 30%.

“Is this why we struggled, why people died? We want to go to our graves smiling… we will not be allowed peace and stability if we do not attend to the problems.”

Prof. Solms said the miracle of the political transformation did not trickle down to the people. A lot has been done, but much more needs to be done. “It can only be done by us. It is not the government’s responsibility. The way we live as a result of apartheid is that we are a deeply divided society. We must recognise this and do something to change it.”

He encouraged people to think “small”. An individual cannot change the whole country, but the changes in his community are there to see.

Dr Tutu also congratulated the UFS on becoming a truly South African university, recognising the transformation of the past few years.

The dialogue was presented at the Global Leadership Summit that 250 students and academic leaders from 21 international universities are participating in. The summit runs until Friday 20 July 2012.
 

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