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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

Study on school violence shows the secondary school environment compels learners to be armed
2015-01-26

The secondary school environment apparently compels learners to come to school armed. This is according to a study done by Dr Lynette Jacobs, a lecturer at the School of Education Studies at the University of the Free State.

In her study, Dr Jacobs found that learners from more affluent schools carry noticeably more weapons than learners in less affluent schools. Learners in the lower grades of secondary schools also use and carry more weapons than learners in the higher grades.

Dr Jacobs says while many reasons for school violence can be noted, such as to forcibly take the victims money and food, racial differences, religious differences, as well as the immigrant status of one of the parties involved, these were reasons indicated by less than 10% of the participants in the study.

“There is no single explanation for the threat of violence at schools and most acts of school violence appear to happen randomly, often out of instant retaliation.”

For the study, Dr Jacobs did surveys at schools across three provinces in South Africa.

“Although it varies in levels of seriousness, incidences of physical violence and verbal cruelty consistently occur at South Africans schools. I found that learners are furthermore regularly mocked, insulted, cursed and humiliated by peers.”

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