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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.

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Johann Naudé talks at first Beyers Naudé lecture for 2012
2012-08-02

At the event were, from the left: Ms Bontle Senne, Managing Director for the PUKU Children’s Literature Foundation, Mr Sipho Hlongwane, writer and columnist for the Daily Maverick, Prof. Nicky Morgan, Vice-Rector: Operations at the UFS, Mr Themba Mola, Chief Operations Officer at Kagiso Trust, Mr Johann Naudé, son of Dr Beyers Naudé, and Dr Choice Makhetha, Vice-Rector: External Relations.
Photo: Stephen Collett
2 August 2012

The University of the Free State (UFS) together withKagiso Trust, presented the first Beyers Naudé lecture for 2012 on its South Campus in Bloemfontein last week. Speakers like Dr Wilmot James, Member of Parliament, Mr Johann Naudé, son of Dr Beyers Naudé, Mr Sipho Hlongwane, writer and columnist for the Daily Maverick and Ms Bontle Senne, Managing Director for the PUKU Children’s Literature Foundation, all gave a lecture around this year’s theme: Collaborative partnerships for social cohesion: Building a nation with ethics.

Dr Beyers Naudé played a major role in the formation of Kagiso Trust. His contribution to the trust and the fight against oppression in South Africa, as well as his challenging of the establishment from which he came, makes him one of South Africa’s courageous heroes. Kagiso Trust thus saw it fit to celebrate the life of this clerical activist through a Memorial Lecture The Beyers Naudé Memorial Lecture is an effort by the Trust to engage South Africans into a dialogue about issues affecting our nation.

Mr Johann Naudé talked about the lessons they as children learnt from their parents as well as his father’s decision to respond to the needs of the people in South Africa. Even before the Sharpeville Massacre, Dr Naudé began a self-transformation that led to his rejection of apartheid. “Apartheid had no theological or scriptural grounds and my father decided to resign from the church. After that, he started to talk openly against apartheid and he also paid the price for that. For seven years he was under house arrest and we as his children also felt the effect of his decision. At the University of Pretoria in a residence where I stayed as a student I was called in and told that I would be treated as an outcast. Loans and jobs were also closed for us as children and as a result, we all started our own businesses,” Mr Naudé said.

“Furthermore, our parents taught us to believe in ourselves. He also said we have rights and we can only demand those rights if we take the responsibility that goes with it. My father also taught us to honour and to respect our fellow men, elderly people and the culture of people different from us. We were also taught to apologise for the wrongs to our fellow men and to acknowledge earnestly that we were wrong.”

Dr Wilmot James said that there were two things consistent in the life of Dr Beyers Naudé, namely justice and fairness. “There are many Nelson Mandelas and Beyers Naudés out there. It is the responsibility of political parties and institutions to motivate such leadership. We must ask ourselves: Are my actions and decisions ethical and will they have fair consequences?” Dr James said.

Mr Hlongwane focused his presentation on the ethics part of the theme. He said: “We in South Africa fall very short of ethics. We can start by respecting each other and taking care of one another. The Constitution will not mean a thing if we fail to respect and trust one another. We will have no cohesive society if we continue to treat those different from us like dirt. It is also our ethical duty to build up the disadvantaged.

In her discussion, Ms Senne emphasised the role of the youth in South Africa. “Our youth is failing our state because our state is failing our youth. Their role is to bring cohesion and acts of courageousness to the table. For them to contribute in a practical and sustainable manner, they need to start making the changes they want to see in society. They are young people and they can make it work because they do have access to the necessary means (social networks) to get things done. They must get involved,” she said.

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