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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

Leader of Bafokeng nation delivers a guest lecture at UFS
2011-05-05

 
Kgosi Leruo Molotlegi, leader of the Royal Bafokeng, Proff. Teuns Verschoor, Vice-Rector: Institutional Affairs, Jonathan Jansen, Vice-Chancellor and Rector of our university, and Hendri Kroukamp, Dean of our Faculty Economic and Management Sciences (acting).
Photo: Stephen Collett

Kgosi Leruo Molotlegi, leader of the Royal Bafokeng nation, asked the pertinent questions: Who decides our fate as South Africans? Who owns our future? in the JN Boshoff Memorial Lecture at our university.

He said: “It’s striking that today, with all the additional freedoms and protections available to us, we have lost much of the pioneering spirit of our ancestors. In this era of democracy and capitalist growth (systems based on choice, accountability, and competition), we nevertheless invest government with extraordinary responsibility for our welfare, livelihoods, and even our happiness. We seem to feel that government should not only reconcile and regulate us, but also house us, school us, heal us, employ us, even feed us.

“And what government can’t do, the private sector will. Create more jobs, invest in social development and the environment, bring technical innovations to our society, make us part of the global village. But in forfeiting so much authority over our lives and our society to the public and private sectors, I believe we have given away something essential to our progress as people and a nation: the fundamental responsibility we bear for shaping our future according to aims, objectives, and standards determined by us.”

He shared the turnaround of the education system in the 45 schools in the 23 communities of the Bafokeng nation and the effect of greater community, NGOs, the church and other concerned parties’ engagement in the curricula and activities with the audience. School attendance improved from 80% to 90% in two years and the top learners in the matric maths in Northwest were from the Bafokeng nation. 

Kgosi Leruo Molotlegi stressed the need for people to help to make South Africa a better place: “As a country, we speak often of the need for leadership, the loss of principles, a decline in values. But too few of us are willing to accept the risk, the expense, the liability, and sometimes even the blame, that accompanies attempting to make things better. We are trying to address pressing issues we face as a community, in partnership with government, and with the tools and resources available to us as a traditionally governed community. It goes without saying that we can and should play a role in deciding our fate as members of this great country, and in the Royal Bafokeng Nation, as small as it is, we are determined to own our own future.”

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