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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

UFS mourns passing away of pioneer
2005-09-30

Prof Dudley Vermaak (76), founder and former director of the University of the Free State’s (UFS) Research Institute for Education Planning (RIEP), passed away on Friday 23 September 2005 in George as a result of a stroke.  

Prof Vermaak was associated with the UFS for about 23 years.  A Centenary Medal was awarded to him in October 2004 by the UFS for his pioneering work in transformation through his initiatives, during the apartheid era, to empower education officials, teachers and postgraduate students from disadvantaged communities in South Africa. 

He did pioneering work in the eighties with the training of black teachers, especially senior officials and managers in black education, and with the research and training on the improvement of education in the black community.  

“Prof Vermaak was a visionary person who understood the changing South African context in the eighties and started at an early stage with work to improve black schools and the training of black leaders in the education sector.  He was a true pioneer at the UFS.  We are thankful that we could honour him for this with a Centenary Medal last year,” said Prof Frederick Fourie, Rector and Vice-Chancellor of the UFS.

RIEP originally started off as the Research Unit for Education Planning in 1974 under the guidance of Prof Vermaak.  During the apartheid years the institute was intensely involved with research about education in the former homelands.  It was also the only organisation that could provide complete education statistics, which was necessary for planning, about the former homelands. 

RIEP was also involved with service delivery to the so-called independent and self-governing states regarding training in management and planning and support.  Several education officials from these areas undertook their M Ed and D Ed studies with the help of RIEP.  Some post-1994 education and political leaders include e.g. Lionel Mtshali, premier of KwaZulu-Natal in 1999-2004. 

Prof Vermaak was cremated in George.  A memorial service will be held at 10:00 on Saturday 1 October 2005 at the Berg-en-Dal Dutch Reformed Church in Dan Pienaar.  Prof Vermaak is survived by his wife, Marietjie, four children and grandchildren.  He lived in Kiepersol Retirement Village in Bloemfontein for the past six years. 

Media release
Issued by:  Lacea Loader
   Media Representative
   Tel:  (051) 401-2584
   Cell:  083 645 2454
   E-mail:  loaderl.stg@mail.uovs.ac.za
29 September 2005
 

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