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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

Two academics receive prestigious fellowship for leadership programme
2013-01-16

The University of the Free State (UFS) boasts two academics who received the HELM LEAD (Higher Education and Leadership Programme) Fellowship for 2013. Prof. Liezel Lues from the Department of Public Administration and Management and Prof. Liezel Herselman from the Department of Plant Sciences both received this prestigious fellowship.  

After the nationwide nomination procedure – with a choice from 120 applications - Higher Education South Africa (HESA) awarded 25 placements in the programme. Candidates who were selected, had to be in middle-management positions within the university sector, had to have exceptional qualities, and had to exhibit management and leadership potential within their university.  

This group will now undergo a number of modules in Higher Education, which will start during January in Cape Town. The aim of the programme, running between February 2013 and April 2013, is to provide learning opportunities for middle and senior managers to gain knowledge and skills, with a view to the successful navigation of the constant challenges of change and to interpret effectively the operational impact of internal and external drivers.  

Modules include topics such as Academic Policy and Planning; Governance and Strategy; Systems Management; and Managing People and Change.  

Prof. Lues stated that she applied for the programme because she strongly believes that an effective and vibrant public sector, and especially the role of female academics therein, will play a fundamental role in the transformation of the South African community towards a prosperous and tolerant society. “I believe the LEAD component of HESA will offer me the opportunity to enhance my knowledge and insight with regard to the socio-political environment and its impact on higher education institutions. The envisaged outcomes of the programme will also directly lead to the improvement of my leadership and management practices within the UFS’ Department of Public Administration and Management,” said Prof. Lues.  

Prof. Herselman was appointed as Head of the Department of Plant Sciences, effective from 1 January 2013.  She is very excited about this new position and said: “Although I am looking forward to the new challenge, I am aware of my lack of experience as a manager. The LEAD programme will provide me with the necessary skills and knowledge to succeed as Head of Department and will give me the opportunity to strengthen the Department of Plant Sciences and to make it a Department of international stature.”

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