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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

Second OSM concert inspires Heidedal youth
2016-12-08

Description: OSM Heidedal concert Tags: OSM Heidedal concert 

Sehle Mosole, left, and Jonandrea Pofadder back,
with the children from the ROC Foundation during the
second OSM community outreach in Heidedal, Bloemfontein.
Photo: Supplied

“The project is special because it is an event in the community, by the community.” This is what Gerda Pretorius, lecturer in the Odeion School of Music (OSM) at the University of the Fee State, said about the second music concert hosted by the OSM in Heidedal, Bloemfontein.

The concert, in collaboration with the Reach Our Community (ROC) Foundation on 26 November 2016, was a follow-up on the concept that was started last year. As part of the outcomes of the MUSE3706 module, the third-year Music Education students engage in a project in a specific environment.  For this project the MUSE team, led by Pretorius and Anchen Froneman, collaborated with the ROC Foundation in Heidedal. Two third-year students in the OSM, Sehle Mosole and Jonandrea Pofadder, facilitated the event in 2016.

Long relationship between ROC and UFS

Since 2008, the UFS has successfully partnered with ROC through service-learning and community-engagement projects in which students from across all seven faculties participate. The foundation strives to address the challenges resulting from factors such as poverty, unemployment, HIV/Aids, single parenting, lack of guardianship, and physical and sexual abuse. In the Afterschool Care programme, the children engage in educational, cultural, and recreational activities.

Children who form part of the foundation’s Afterschool Care programme, showed their impressive music skills to their parents and guardians in attendance.

Spontaneous participation by community

“I was deeply touched by the spontaneous participation and appreciation of the community for art-related – in particular music and dance – events,” said Pretorius. A highlight was the community’s involvement in the event and the value it adds to the students’ organising skills.

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