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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

Curtains fall on Darwin lecture series
2010-02-03

The University of the Free State (UFS), in collaboration with the Central University of Technology and the National Museum in Bloemfontein, will host the final lecture of the Charles Darwin lecture series entitled "The story of life and survival" as part of the 200-years celebration of Charles Darwin’s birthday on Thursday, 11 February 2010.

The lecture titled Trends in evolution and their bearing on the future of humankind will be presented by Prof. Bruce Rubidge and Prof. Terence McCarthy from the University of the Witwatersrand and co-authors of the book The Story of Earth and Life.

Last year, when the year-long lecture series started, several lectures were presented by academics from various departments at the UFS.
Prof. Marian Tredoux and Mr Johan Loock from the Department of Geology presented lectures on The origin of our solar system and The geological evolution of our planet: the first billion years, respectively.

"Transitions and extinctions" was the topic of another lecture presented by Dr Jennifer Botha-Brink, a paleontologist at the National Museum and affiliated to the Department of Zoology and Entomology at the UFS. She discussed the causes of mass extinctions and their effects on the world's organisms.

The Department of Genetics also made their contribution to this lecture series in the form of two lectures on the genetic foundation of evolution presented by the Head of the Department, Prof. Johan Spies and Prof. Paul Grobler, an Associate Professor in the Department.

Next followed lectures on the evolution of the information and communication technology that were presented by the Departments of Communication Science, Chemistry, Physics, and Computer Science and Informatics, which focused on communication in a manufacturing environment, the knowledge explosion and the broadband universe.

This final lecture of the series will be presented in the CR Swart Auditorium on the UFS Main Campus at 18:00. Limited seats are available and bookings can be made by contacting Ms Isabel Human at humanci@ufs.ac.za or 051 401 2427 before or on Monday, 8 February 2010.

Media Release:
Mangaliso Radebe
Assistant Director: Media Liaison
Tel: 051 401 2828
Cell: 078 460 3320
E-mail: radebemt@ufs.ac.za  
2 February 2010

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