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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 receives multimillion rand international funding for Advancement
2013-01-21

21 January 2013

We are one of four South African universities that have been selected to take part in a multimillion-rand programme to bolster private fund-raising and Advancement efforts.

The UFS will receive US$640 000 (R5 612 800) over a period of five years to use in advancement efforts.

In total, the US-based Kresge Foundation will make US$2.5 million available to the four universities, which includes the UFS, Durban University of Technology (DUT), Tshwane University of Technology (TUT) and the University of Johannesburg (UJ), over the next five years as part of a joint initiative with Inyathelo: The South African Institute for Advancement, to support the long-term financial sustainability of higher education institutions in South Africa.

Kresge will also provide programmes and support aimed at enhancing student access to universities and improving graduation rates.

Bill Moses, who directs Kresge’s education programme, says declining government support means that South African university officials need to tap into diversified philanthropic and private funding if they want to enhance their institutions’ ability to serve students better. “Stronger Advancement skills are critical to their success and ultimately to getting more South African students into universities and completing degrees. Advancement is not just about raising funds. It is the practice of building, maintaining and improving support, skills and other resources to ensure the sustainability of an institution,” explains Moses.

 This latest Kresge initiative follows the success of a five-year partnership with Inyathelo that helped five high-profile South African institutions - the University of the Witwatersrand (Wits); the University of Pretoria (UP); the University of the Western Cape (UWC); the Cape Peninsula University of Technology (CPUT) and the Children’s Hospital Trust - increase their private fund-raising revenue threefold. The four universities will receive additional funding over the next five years and will serve as mentors to the new group of institutions.

In April last year, Kresge announced a new commitment to South African higher education that builds on its efforts in the United States to improve university access and help students succeed academically. Their ‘Promoting access and success at South African universities’ programme will seek to strengthen pathways to and through universities, especially for students who are often unprepared for university study. Moses says enhancing the ability of universities in South Africa to graduate the next generation of knowledge workers, will make it possible for the country to compete more effectively in the global economy. “Access to higher education in South Africa has improved dramatically since the end of Apartheid. A doubling of enrolment since 1994 has, however, contributed to serious challenges, including under-prepared students and disappointing graduation rates. We are confident that our programme will help address some of these obstacles to success,” says Moses.

Kresge has already funded several efforts that support its interest in strengthening pathways to and through universities this year, including a grant to the University of the Free State to expand the South African Survey of Student Engagement, as well as funding to the University of Pretoria to support a conference in January, which will highlight opportunities to promote access and success at South African universities.

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