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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

SA must appoint competent judges
2009-05-08

 
At the inaugural lecture are, from the left: Prof. Teuns Verschoor, Acting Rector of the UFS, Judge Farlam and Prof. Johan Henning, Dean of the Faculty of Law at the UFS.

Supreme Court of Appeal Judge Ian Farlam has called on the South African government to appoint and continue to appoint competent, fair and experienced judicial officers to sit in the country’s courts.

He also emphasised the need to have an efficient and highly respected appellate division, which rightly enjoys the confidence of all.

Judge Farlam was speaking at the University of the Free State (UFS) where he delivered his inaugural lecture as Extraordinary Professor in Roman Law, Legal History and Comparative Law in the Faculty of Law.

He said there were important lessons that emanated from the study of legal history in the Free State, particularly including the lesson that there were courageous jurists who spoke up for what they believed to be right, and a legislature who listened and did the right thing when required.

“This is part of our South African heritage which is largely forgotten – even by those whose predecessors were directly responsible for it. It is something which they and the rest of us can remember with pride,” Judge Farlam said.

Addressing the topic, Cox and Constitutionalism: Aspects of Free State Legal History, Judge Farlam used the murder trial of Charles Cox, who was accused of killing his wife and both daughters, to illustrate several key points of legal history.

Cox was eventually found guilty and executed, however, the trial caused a deep rift between the Afrikaans and English speaking communities in the Free State.

Judge Farlam also emphasised that the Free State Constitution embodied the principle of constitutionalism, with the result that the Free State was a state where the Constitution and not the legislature was sovereign. He said it was unfortunate that this valuable principle was eliminated in the Free State after the Boer War and said that it took 94 years before it was reinstated.

Judge Farlam added, “Who knows what suffering and tragedy might not have been avoided if, instead of the Westminster system, which was patently unsuited to South African conditions, we had gone into Union in 1910 with what one can describe as the better Trekker tradition, the tradition of constitutionalism that the wise burghers of the Free State chose in 1854 to take over into their Constitution from what we would call today the constitutional best practice of their time?”

Media Release
Issued by: Lacea Loader
Assistant Director: Media Liaison 
Tel: 051 401 2584 
Cell: 083 645 2454 
E-mail: loaderl.stg@ufs.ac.za
8 May 2009
             

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