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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

A call for next generation of professors: Apply for the Vice-Chancellor’s Prestige Scholars’ Programme
2014-12-19

 

Examples of the rector's prestige scholars' international footprint: Dr Olihile Sebolai, Fulbright scholar (left) returned to the UFS after six months at the University of Birmingham and three at the University of Missouri. Dr Cilliers van den Berg (right) visited Cornell University on a ten-month sabbatical.

The Vice-Chancellor’s Prestige Scholars’ Programme (PSP) seeks to identify, develop and promote the next cohort of the most promising and talented UFS academic members of staff who obtained a doctoral degree within the last five years or will graduate by June 2015.

Scholars identified benefit from an intensive programme of academic and professional support that includes an advanced residential programme, exposure to leading scholars, concentrated reading and writing programmes, high-level seminar participation and presentation, nuanced publication schedules and personal mentoring and advice, including participation in the annual PSP mock NRF rating and the development of a postdoctoral intellectual project for funding submission (Thuthuka, and similar).

Past prestige scholars have become Fulbright scholars, received funding from among others the Association of Commonwealth Universities, the Japan Society for the Promotion of Science, Erasmus Mundus, NRF Blue Skies, Thuthuka, etc. They have spent time at universities in Canada, the USA, United Kingdom, Europe and Japan.

This year the selection process will be anticipated by pre-selection. Final selection to the programme will take place in September 2015. The selection is highly competitive, and aimed at those young scholars with the potential to obtain upper-level NRF ratings (Y1 and P).

Criteria for selection:

Recently obtained a PhD degree. 
Evidence of an active publication record. 
Early recognition of scholarly work, e.g. successful funding/grant applications and academic awards. 
The early development of a post-doctoral intellectual project that shows evidence of scholarly “potential” (defined by the NRF Y-category). 
Indication of the young scholar’s understanding of what their envisaged postdoctoral endeavours will contribute to the body of disciplinary knowledge. 
Full participation in the pre-selection residential programme and activities is a requirement for selection.

Call for interest: 2015 (PDF)

Requests for further information can be directed to Prof Jackie du Toit at dutoitjs@ufs.ac.za.

Applications close on 16 February 2015.

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