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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

UFS academic delivers inaugural lecture on challenges confronting political science in the 21st century
2012-10-12

Prof. Hussein Solomon.
Photo: Stephen Collett
12 October 2012

This week Prof. Hussein Solomon, Senior Professor in the Department of Political Studies and Governance delivered his inaugural lecture on the Bloemfontein Campus of the University of the Free State (UFS).

In his lecture, “Challenges confronting political science in the 21st century, A South African perspective”, Prof. Solomon explored five challenges to academic political science in general and to South African political scientists in particular.

The challenges include the need to localise international relations theory with an emphasis on the emancipatory dimensions; exploring the nexus between technology and politics; incorporating political anthropology into mainstream political science syllabi; rising to the challenge of governing Africa’s cities; and the dangers of over-specialisation in an era that demands the use of a broader academic lens.

According to Prof. Solomon, political science has come a long way from those heady days in 1950 when Lasswell could confidently state that politics was about who gets what, when and how.

“Indeed, the world of 2012 scarcely resembles the world of 1950. Immanuel Wallerstein was correct in his assessment that the modern world system is coming to an end. As political scientists, we need to interrogate our existing knowledge constructs in relation to this rapidly changing reality. We need to indigenise international relations theory and emphasise creating an emancipatory and counter-hegemonic discourse.

We need to explore the nexus between technology and politics to deepen our democracy by empowering the margins in our societies. We need to embrace political anthropology as we strive to understand non-Western forms of governance. We need to use these understandings of traditional societies as we create hybrid forms of urban governance that stress inclusivity as we overcome the politics of identity and difference. We need to heed the call of De Tocqueville and create a new political science to understand the new times by supplementing disciplinary insights with those from other disciplines. In doing so, political science will once more regain its relevance to humanity in the twenty-first century,” Prof. Solomon said.
 

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