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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

Postgraduates’ new Kovsies home
2013-05-10

 
Some of the guests attending the launch, included from left: Prof Driekie Hay, Vice-Rector: Academic, Dr Henriette van den Berg, Director: Postgraduate School and Prof Corli Witthuhn, Vice-Rector: Research.
10 May 2013
Photo: Johan Roux

Postgraduate students and their academic 'parents' at the University of the Free State (UFS) now have a dedicated physical, emotional and electronic space to provide for their specialised needs in order to further promote research excellence at the UFS.

The university's Postgraduate School was launched in May 2011, but ventured further in the quest to fulfil and expand its mandate with new initiatives. These different aspects of the school were launched on Wednesday 8 May 2013 in the CR Swart Auditorium on the Bloemfontein Campus. The postgraduate strategy, postgraduate prospectus, the website and the headquarters of the Postgraduate School in the Johannes Brill Building were all unveiled and launched.

Prof Driekie Hay, Vice-Rector: Academic, who was a major driving force behind the formation of the Postgraduate School, during her address at the opening emphasised the multifaceted and unique relationships which often exist between students and supervisors.

Prof Hay, who has a distinguished academic background in postgraduate teaching, made plain her expectations for the Postgraduate School. She said it aims to "create an intellectual space for postgraduate students and supervisors" in order to produce world-class intellectuals at this university.

She said the school will empower both students who often don't know what to expect from supervision, as well as supervisors who often lack supervision skills. Through this it will be possible to create healthy, productive relationships between the distinct pairs in often misunderstood, unbalanced and intricate interactions.

Dr Henriette van den Berg, Director of the Postgraduate School, introduced the strategic plan of the school and emphasised the great strides that have already been made and what still needs to be done at the UFS in terms of postgraduate teaching. According to her, the Postgraduate School aims towards "holistic development of postgraduate students with transferable skills," through a multi-level and institution-wide approach at the university.

"Our aim is to develop a one-step service for postgraduate students, involving all the different stakeholders," she said.

The new Postgraduate School website was also showcased during the event. Reachable through a number of avenues on the main website, the site offers a digital version of the Johannes Brill Building. Brimming with features catering specifically for local, international, current and prospective students, the website provides crucial information.

The Johannes Brill Building's refurbished interior, with staff offices, seminar rooms and social spaces, were also showcased to UFS' staff and students. The initial phase of the Supervisors' Wall of Fame was also unveiled. According to Dr van den Berg , the wall will after completion bestow much-deserved praise on a hand-picked group of 60 supervisors who have respectively been responsible for more than 300 and more than 500 successful PhD and master's candidates over the past decade.

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