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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

Community project teaches students psychology behind training
2009-05-13

 
Aaron Li and Marisa Smit busy teaching pre-school children how to bake biscuits at the Welpies Pre-primary School of Free State Care in Action in Bloemfontein.
Photo: Supplied


A community project of the third-year industrial psychology students at the University of the Free State (UFS) is helping students to gain a better understanding of the psychology behind training so as to facilitate a higher success rate with regard to their programme. Since 2004 the Faculty of Economic and Management Sciences and the Community Service Learning Office at the UFS have been involved in a very unique community project. The third-year industrial psychology students are required to conduct their own needs analysis to determine the needs of the community allocated to them, after which they must address this need in a viable, sustainable manner. Key to this project is training and development that often involve the unemployed and entrepreneurs. Some training is also focused on smaller children. The 340 students involved in the project this year were responsible for presenting projects at various communities in Mangaung, amongst others: The Life Cycle of a Butterfly; Small-Group Facilitation; Bake and Decorate a Cookie; Sustainable Chicken Project; How to use the Library; Fire Prevention; Peer Pressure; Team Development; Preparation for Interviews and Writing of CVs; and Early Childhood Development.

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