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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

Little ‘Devil’s Worm’ on Top 10 New Species list
2012-05-29

 

Halicephalobus mephisto (Devil’s Worm)
Photo: Supplied
29 May 2012

A minuscule little worm found and researched with the assistance of researchers at the university has made it onto the list of Top 10 New Species of the world. The list was published by the International Institute for Species Exploration (IISE) at Arizona State University and a committee of scientists from around the world. It lists the top ten new species described in 2011.

An article on the new worm species appeared in the authoritative journal Nature in June 2011.
 
Prof. Esta van Heerden, leader of the university’s research team, says, “In our wildest dreams, we could not have imagined that we would get so much reaction from the worm’s discovery. We had to do so many checks and balances to convince Nature that the worm could survive in the old and warm water. We were very excited when the article was accepted but the media reaction was unbelievable.”
 
The tiny nematode, Halicephalobus mephisto (Devil’s Worm) of about 0,5 mm in length, is the deepest-living terrestrial multi-cellular organism on earth. It was discovered in the Beatrix gold mine near Welkom at a depth of 1,3 km.
 
The IISE says in a statement the species is remarkable for surviving immense underground pressure as well as high temperatures. The borehole water where this species lives has not been in contact with the earth’s atmosphere for the last 4 000 to 6 000 years.  
 
This top-10 list includes a sneezing monkey; a beautiful, but venomous jellyfish; a fungus named after a popular TV cartoon character; a night-blooming orchid; an ancient walking cactus creature; and a tiny wasp. A vibrant poppy, a giant millipede and a blue tarantula also made it onto the list.
 
The international selection committee made its choice from more than 200 nominations. They looked for species that captured the attention because they were unusual or because they had bizarre traits. Some of the new species have interesting names.
 
Prof. Van Heerden says, “We are very thankful for the exposure that the university gets as a result of the inclusion on the list and we enjoy the international cooperation immensely.”

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