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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

Student one of ten Google Young Minds
2012-04-23

 

Sibusiso Tshabalala is making strides as an international young leader.
23 April 2012

Third-year B.Com Law student, Sibusiso Tshabalala from our university, is one of ten of Google’s Young Minds for 2012. He made it to the top thirty from a pool of 1 700 applicants at the beginning of April 2012.

“The standard of other competitors and the panel of judges were extremely high. I was excited to receive the news that I had made it,” he says.

Annually, Google searches for ten students internationally who demonstrate strong leadership capabilities. This once-in-a-lifetime opportunity is given to students who also have an entrepreneurial drive and a commitment to social activism. Sibusiso was selected for his involvement in renovating libraries and training budding public speakers. His projects also involve encouraging literacy and critical thinking in poor areas in the Free State by establishing reading clubs.

Sibusiso will be attending the Google Zeitgeist in London from 20 to 22 May 2012.

At the conference, he will have the opportunity to meet some of the world’s greatest minds. Over 400 influential business leaders and visionaries from around the world will be hosted. Speakers include Prof. Stephen Hawking, former Lucasian Professor of Mathematics: University of Cambridge; Sir Richard Branson, Virgin Group; Eric Schmidt, Chairman: Google; Larry Page, CEO: Google; Angela Ahrendts, CEO: Burberry, and international musician will.i.am.

The ten winners will also take part in a series of ‘master classes’ with the aim of mentoring them to help further their future projects.

His achievements include the 2010 winner of the National SAGE Competition (Students for the Advancement of Global Entrepreneurship). He represented South Africa in Brazil that same year and was also National Winner of the Best Speaker Award at the 2011 South African National Universities Debating Championships. He was ranked as one of the top ten debaters in Africa at the Pan African Universities Debating Championships held in Bulawayo, Zimbabwe in 2011. Sibusiso recently chaired the committee that organised the first university based CANSA Relay for Life Event in South Africa. This took place at the UFS in February 2012.

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