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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

Because you can do the undoable
2014-05-30


Gabriela Schroder

Since visiting the University of Vermont in 2011 as an F1 student and attending the Stanford Sophomore College the year after, Gabriela Schroder has never stopped dreaming and working towards her objectives.

During the autumn graduation earlier in 2014, Gabriela received the Dean’s Medal. This award goes to the final-year student who achieves the best results in respect of a first Bachelor’s degree in the Faculty of Natural and Agricultural Sciences. Her triumph did not end there. In addition, she also received the Senate’s Medal and Prize which is awarded to the best Bachelor’s degree student at the university. Across all the faculties of our university. 

“Although these medals came to me as a surprise, it really was a reward to my hard work and toil throughout my undergraduate years,” she said. Schroder was also honoured and introduced by Prof Jonathan Jansen on stage at this year’s Kovsie Open Day, along with other top achieving students. She believes that anybody can reach their goals if they are willing to make sacrifices and through focus, hard work and determination. 

One of her favourite quotes that motives her is of Albert Einstein, “You really understand something if you can explain it to your grandmother.” In the process of learning, one must break down what they are working towards. She advises to make the knowledge your own – this develops a better insight into the concept. In the end, that which is regarded as complex is originally built from simple principles.

Schroder is currently studying towards her BSc Honours in Biochemistry at Kovsies. She has her sights set on a master’s degree in the near future.

“To my fellow Kovsies and beyond: seize your opportunities. Don’t be afraid to think the unthinkable – because you can do the undoable,” she added.

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