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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

Read a book SA encourages South Africans to read one book a month
2012-09-20

Campus Principal Dr Elias Malete on the left and Tebogo Ditshego's. With them are Betsy Eister, UFS Director: Library and Information Services and Mathene Mahanke from the Department of Sport, Arts, Culture and Recreation.
20 September 2012

'Read a book SA's" objective is to bring reading into the everyday lives of South Africans. Speaking at Writers’ Day on the Qwaqwa Campus of the University of the Free State last Thursday, Ditshego said reading was essential. “Of all the skills that anyone can ever have, reading is the most fundamental of them all. It improves one's attention, confidence and discipline, amongst others.”

Ditshego asked why South Africa is presently faced with a 25,2% unemployment rate compared to Germany's 6-8%, despite South Africa having more and better natural resources. The answer, according to him, rests with lack of knowledge and critical skills in South Africans.

“Out of 144 countries, South Africa is ranked 133th in as far as the delivery of quality education is concerned. The reason for this is that South Africans lack knowledge, as they do not read enough. Most South Africans read for information, which is different from knowledge,” Ditshego argued.

In his welcoming remarks, Campus Principal Dr Elias Malete challenged authors to continue reminding society of their responsibilities.

“It is also your duty and responsibility to teach diplomacy lessons, to teach about effective leadership that is accountable, fair and transparent,” said Dr Malete.

Amongst the established authors who shared their wisdom with budding writers was Dr KPD Maphalla, a Sesotho literature guru and custodian of Sesotho language and culture. UFS students and learners from Sekgutlong and Tiisetsang secondary schools had the opportunity to showcase their writing skills. They also received expert advice on manuscript development and publishing from Mathene Mahanke from the Free State's Department of Sport, Arts, Culture and Recreation.

The annual Writers' Day is a joint venture of the Campus Principal and the Library and Information Services (LIS).

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