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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

A real indaba it was
2010-09-07

Pictured from the left, are: Prof. Dennis Francis (Dean), Prof. Rita Niemann (Director: Postgraduate Studies and Research) and Prof. Rob Pattman (Keynote speaker: UKZN).

No expert panels! No rubrics! Only a fair measure of healthy anxiety that goes with public speaking!

These features describe the meeting that staff members from the Faculty of Education recently had at Indaba Lodge on the banks of the Modder River. The purpose of this get-together was to create a time and space where staff members could not only celebrate their own research efforts, but also acknowledge, support and validate one another’s work.

The day kicked off with the dean’s research vision for the faculty. Thereafter seven staff members doing their Ph.D.s were introduced. Their presentations were followed by inputs from the guest speaker, Prof. Rob Pattman from the University of KwaZulu-Natal (UKZN). He congratulated the presenters on their cutting-edge research, their eloquence and the manner in which they managed to communicate complex matters in simple ways. Ideas he shared from his own research on social identities and critical agency (with a focus on gender and race) served to affirm the relevance of the topics presented by the Ph.D. candidates in transforming the education system as well as the South African society as a whole.

A festive lunch, in honour of retiring Prof. Johan van Staden, brought an affective dimension to the Indaba in the form of heart-felt goodbye messages from colleagues who had shared his academic life for more than 20 years.

After lunch five master’s students had the opportunity to share their research in the form of poster presentations. A lively interest among participants and critical, but constructive questions characterised this session. A potpourri session followed, comprising work in progress, completed surveys, research awards and innovative research methods.

The wrap-up by Prof. Dennis in no uncertain terms affirmed that researchers in the Faculty of Education not only crossed the Modder River, but also the proverbial Rubicon on 21 August. It was envisaged that henceforth:
- Supervision will take on a collaborative character.
- Soon a research forum for Ph.D. students and their supervisors will be established where these students and supervisors can start practising their agency.
- Instead of relying on outside experts who come and “tell” faculty staff members what to do, insiders should start building their own vibrant research-based practices by forming reading groups to discuss seminal works (e.g. Foucault and Freire) and research methodologies (e.g. Burke’s Pentad).

The Indaba was aptly concluded by one of the participants who, on behalf of all attendees, thanked and congratulated the dean on the initiative to give impetus to research. Analogous to the 2010 slogan, Feel it, it is here!, he said: “I feel so inspired and empowered, I can almost taste it!”
 

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