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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

Goodwill and unity reigns supreme at official opening
2014-02-07

Video
Transcription: Prof Jonathan Jansen speech

The academic year at the UFS was officially opened by Prof Jonathan Jansen, Vice-Chancellor and Rector, at a splendid event with staff at the Bloemfontein Campus. “The UFS is no longer the place it was four years ago. When I arrived here, the place was very much divided. The picture is very different today. Staff and students have come together and are spending time together as friends. A new spirit reigns at the university. People are no longer mad at each other; they talk to each other,” Prof Jansen said.

The reason: students know that they are loved and respected. The people responsible for this – the staff.

Prof Jansen particularly emphasised the capacity of staff members to change and to care. “Change at the UFS is possible because of the positive attitude of staff and students. This creates an atmosphere where students can learn to love and forgive.

“We have reached a new consensus where racism, sexism, xenophobia and homophobia are wrong. We also address this bad behaviour immediately.

“Another highlight at the UFS is the changes in the academy. Debate is deeper and more progressive. We have the best intellectual debates at the UFS. We are also proud of our young researchers in the Prestige Scholars Programme. We are excited, because in five years’ time we will reap the fruits from the efforts of young, as well as older researchers who have worked hard so that we can deliver the best researchers.

“There is another shift in the academic culture on campus with our students increasingly looking academically stronger.

“Besides the capacity of staff to change, they also have a capacity for caring. Projects such as the Staff Fund and the No Student Hungry Programme is doing well, with the NSH Programme raising more than R1 million to feed hungry students,” Prof Jansen said.

At this event, Prof Jansen also gave recognition to the team involved with and working very hard at the Schools Change Project, which is largely responsible for the Free State’s good matric results. With the inspiration of the staff involved with this project, a difference is made to schools in the Free State.

“Our staff members do more than is stipulated in their contracts. Our staff members do their jobs from the heart,” Prof Jansen said.

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