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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

SA and Africa must avoid going over the edge
2017-02-26

Description: Prof Hussein Solomon, SA and Africa must avoid going over the edge Tags: Prof Hussein Solomon, SA and Africa must avoid going over the edge

From left are: Prof JM Moosa (Centre for African
Studies, Jawaharlal Nehru University, India),
Prof Hussein Solomon (Senior Professor: Political
Studies and Governance at the UFS),
Prof Virgil Hawkins (Osaka School of International
Public Policy Studies, Osaka University in Japan), and
Prof Ajay Dubey (Centre for African Studies, Jawaharlal Nehru
University, India).
Photo: Jóhann Thormählen

South Africa and the rest of Africa might be standing on the edge of a cliff and therefore conversations are necessary to avoid tipping over. According to Prof Hussein Solomon that was why a conference to address these issues was recently co-hosted by the University of the Free State (UFS).

Prof Solomon, Senior Professor of Political Studies and Governance at the UFS, said the continent and country needed to make the right decisions. “These right choices refer to the correct economic, political, and social policies.”

International delegates attend
Delegates from India, Japan, Zambia, Lesotho and South Africa attended the conference, called A View from the Precipice: Critical Reflections on South Africa and Africa in the 21st Century, on 13 and 14 February 2017 on the Bloemfontein Campus. It was co-hosted by the UFS Department of Political Studies and Governance, Jawaharlal Nehru University (India), Centre for the Engagement on African Peace and Security, Southern African Centre for Collaboration on Peace and Security and Osaka University (Japan).

Prof Solomon said external actors provided a useful mirror as they gave an idea of how Africa and South Africa were viewed from abroad.

Creating a knowledge-sharing forum
“It is not just about sharing knowledge, but creating a forum for sharing knowledge,” said Prof Virgil Hawkins from the Osaka School of International Public Policy Studies.
Prof Hawkins, who is a visiting professor at the UFS, said a conference like this was one of the cornerstones of the relationship between the UFS and Osaka University. Prof Solomon is also a visiting professor at last mentioned university.

Highlights of conference
Prof Solomon said some of the discussions included that “the ANC government is in crisis and is dragging the rest of the country with it”. Another participant said that 80% of the jobs in the next 20 years had not been created yet – which put the relevance of tertiary education in the spotlight.

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