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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

Prestige Scholar hosts Prof John Helliwell of Manchester University
2015-12-08

From left is Prof John R. Helliwell (School of Chemistry, University of Manchester), Dr Madeleine Helliwell (School of Chemistry, University of Manchester), Prof Andre Roodt (Department of Chemistry, University of the Free State) and Dr Alice Brink (Department of Chemistry, University of the Free State).
Photo: Steven Collett

At the invitation of Dr Alice Brink of the Department of Chemistry, Prof John Helliwell, the 2015 Max Perutz Prize winner, and his wife, Dr Madeleine Helliwell, visited the University of the Free State (UFS).
The Helliwells, both chemists of note, took part in a series of lectures and exchanges on the Bloemfontein and Qwaqwa Campuses.
This visit from 9-19 November 2015 was the consequence of Dr Brink’s participation in the Vice-Chancellor’s Prestige Scholars Programme (PSP) initiative to encourage the broadening of the international footprint of the next generation of scholars in the academy.

Two year collaboration

Dr Brink and Prof Helliwell from Manchester University have a standing collaboration going back two years. Dr Brink, an NRF Thuthuka grant holder and a member of the PSP since 2013, has spent almost eight months in Manchester, collaborating with Prof Helliwell on her study of the successful interaction of rhenium tricarbonyl complexes with proteins determined via protein crystallography.
Their collaboration resulted from the close association of Prof Helliwell and Prof Andre Roodt from the UFS Department of Chemistry, both former presidents of the European Crystallographic Association.

Sharing academic expertise

Prof Helliwell, the 2014 American Crystallographic Association Patterson Award winner for his “pioneering contributions to the global development of the instrumentation, methods and applications of synchrotron radiation in macromolecular crystallography”, gave three lectures in the Department of Chemistry, two on the Boemfontein Campus, and the other on the Qwaqwa Campus on 13 November 2015.

Dr Helliwell, former co-editor of the Acta Crystallographica Section C: Crystal Structure Communications journal, consulted with postgraduate students from the Departments of Chemistry and Biochemistry.

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