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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

Nigeria’s Boko Haram: Why negotiations are not an option
2014-10-23



There has been much speculation if the recently announced ceasefire in Nigeria as well as talks with Boko Haram will indeed secure the release of about 200 girls kidnapped by this religious militant group.

Talks already started between the government and Boko Haram but there are still doubts if the girls will be freed and if the Nigerian government can successfully negotiate with Boko Haram. Prof Hussein Solomon, Senior Professor at the University of the Free State, regards this current negotiations as a terrible idea.

“At a time when Boko Haram’s strength is escalating, the correlatory weakness of the Nigerian government is increasingly exposed. As Nigerians prepare for the next presidential elections, embattled President Goodluck Jonathan is increasingly desperate to negotiate with Boko Haram to secure the release of schoolgirls seized by the terrorists earlier this year and to negotiate a ceasefire. This is a terrible idea. It makes a mockery of the rule of law and of the thousands of innocent victims of the militant violence. More importantly, it will only serve to fuel the terrorists’ ambitions further as the powerlessness of the government is exposed.”

Prof Solomon says religious intolerance is on the rise on the African continent, with a concomitant rise in terrorist incidents. In Algeria, extremist terrorism carries the name of Jund al Khilafah or Caliphate Soldiers in Algeria. In Mali it is Ansar Dine or Defenders of the Faith. In Somalia it is Al Shabaab (The Youth). But none of these organisations come close to the carnage wrought by Nigeria’s Boko Haram (literally meaning Western education is forbidden).

Boko Haram has carried out more than 1 000 attacks since 2010, which has resulted in the deaths of 10 000 people and a further 6 million affected by this terrorist violence. The 300 000 Nigerian refugees who have fled this tsunami of terrorism and have sought refuge in neighbouring Cameroon, Chad and Niger, provide adequate testimony to the human costs of such terrorism. Boko Haram, meanwhile, has formed tactical alliances with Al Qaeda in the Islamic Maghreb, Al Shabaab and the Islamic State in Iraq and Syria (ISIS), which means that the groups are sharing intelligence, tactics and material support. This cooperation has also resulted in increasingly sophisticated terror attacks mounted by Boko Haram.

Read more about Prof Solomon and his research.


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