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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

German Ambassador speaks on universities as agents for transformation
2016-05-25

Description: German Ambassador speaks on universities Tags: German Ambassador speaks on universities

Eva Ziegert, JC van der Merwe, Lindokuhle Ntuli, Anita Ohl-Meyer, Ambassador Walter Lindner, Tali Nates, and Prof Leon Wessels at the dialogue session hosted by the IRSJ
Photo: Johan Roux

“Change is facilitated through education, not by means of radicalism, violence, or revolution.” Speaking at the Bloemfontein Campus of the University of the Free State (UFS) on Thursday 12 May 2016, the German Ambassador, Walter Lindner, urged students to engage in profitable dialogue instead, keeping their values and ideals in mind while changing the system from the inside.

The Institute for Reconciliation and Social Justice (IRSJ) hosted a full day of dialogues and discussions, the highlight of which was a critical dialogue with Ambassador Lindner, entitled “Universities as agents of transformation in society—Germany’s experience with the student protests of the 1968 movement and the difficulties it has reconciling with its past.” This was followed by a student colloquium, hosted by the Student Representative Council, which concluded with the second in the Africa’s Many Liberations seminar series, co-hosted by the IRSJ and the International Studies Group (ISG), with the title of “Fanon and the relevance of personal and collective decolonisation in today’s South Africa”.

Mr Lindner related his experience of student protests in Germany during the late 1960s, drawing certain parallels with South Africa’s own recent protests. According to Ambassador Lindner, it is “the impatient youth that drives forward change”, but cautioned against radicalism as a long-term solution.

Pointing out the various challenges facing humankind today, such as the lack of natural resources, unbridled climate change, and population growth, Mr Lindner stated that politicians (and the youth of today) would do well to focus on these greater issues, rather than focusing on the more mundane issues with which they are faced on a day-to-day basis.

The subsequent dialogue session was facilitated by Tali Nates, Director of the Johannesburg Holocaust and Genocide Centre. A diverse array of questions and comments, both radical and more conservative, was directed at the ambassador, which he handled with unflappable aplomb.

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