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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

Community builders honoured at Community Engagement Awards
2016-10-13

Description: "06 -10-2016 Comm Engagement Awards Read More Tags: Comm Engagement Awards

Photo: Charl Devenish

The office of Community Engagement held its annual Community Engagement Awards at the University of the Free State (UFS) on 5 October 2016. This year, the ceremony celebrated people who gave themselves selflessly to improve the lives of those around them who are less privileged. Key players in various sectors of society were recognised and honoured for their contribution and commitment towards a common good.

Dr Richard Teare, president of the Global University for Lifelong Learning (GULL), was the keynote speaker at the ceremony. GULL, a non-profit foundation, operates across the world, providing access to lifelong learning for communities, giving each individual an opportunity to make a difference in their world. Dr Teare talked of places that lack the provision and infrastructure to access higher education and said that through community service programmes, social and economic development was enhanced, and the necessary expertise and resources were provided to drive a community towards a greater good. “Community engagement espouses academic excellence—it enables people to discover their full potential.”

Through its partnership with GULL, the University of Free State has worked with women from Bloem Shelter, an organisation that provides assistance to underprivileged women and children from diverse walks of life. The women were equipped with the necessary skills and knowledge they needed to become self-sufficient - an experience that has yielded positive, constructive change in the women’s lives. 

The awards also acknowledged the boldness and innovative support of members of the Free State community in their various sectors. Among those awarded was Dr Choice Makhetha for her contribution in building capacity for those involved in community service programmes. She also designed and created approaches to improve situations in schools, churches, community organisations and small businesses. Also presented with an award was Dr Dipane Hlalele of the Qwaqwa Campus for his role as principal investigator in two National Research Foundation (NRF) -funded projects; Rural Relational Leadership and Sustainable Rural and Urban Connection. The ICT Innovation in School Education division of the South Campus was also recognised for its Internet Broadcast Project (IBP), which provides lessons on different subjects to 72 000 learners and 3 000 teachers each week.

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