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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

Asive humbled by new responsibility
2017-09-27

Description: TEDxUFS Tags: TEDxUFS

Asive Dlanjwa, President of the Student Representative
Council (SRC) on the Bloemfontein Campus, and Pura
Mgolombane, Dean of Student Affairs, during the
announcement of the 2017/2018 SRC.
Photo: Johan Roux

Nothing humbles him more than the fact that thousands of students had chosen to put their weight, hopes, and dreams behind him. The emotions Asive Dlanjwa felt when he was announced as the new President of the Student Representative Council (SRC) on the Bloemfontein Campus reveals something about his character.

He clearly understands the weight of the responsibility on his shoulders. Asive, who loves the church and cycling, says he felt a variety of emotions when he was announced as president on 31 August 2017 at the Thakaneng Bridge.

“It was an exciting feeling, but more than anything, it was such a humbling feeling; humbled not only by the excitement of the students when I was announced, but also by the fact that thousands of students had chosen to put their weight, hopes, and dreams behind me!”

Two main objectives

Asive and his SRC have two main objectives – to improve access to the university and advance the integration of our off-campus students into the greater campus community. The Bachelor of Commerce student from Umtata says there are several issues and initiatives his SRC will be tackling – all of them flowing from these objectives.

Including off-campus students

Asive says the SRC will seek to improve access to the university and its various offerings, and to also provide the necessary support to ensure their success. “Also within this objective would be to decisively deal with all forms of exclusion, from academic to financial to social and cultural exclusions perpetuated by systems and policies.”

With regards to off-campus students, he says university life previously revolved around residence life. He means the remains of that are still evident, to the detriment of the greater student community who are off-campus students.

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