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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

Prisca Odero awarded ASA Presidential Fellowship
2015-02-17

Dr Odero (on the right) pictured with Suzanne Baazet, ASA Executive Director at the Awards Ceremony.

Dr Prisca Odero, a Centre for Africa Studies (CAS) fellow, received the African Studies Association (ASA) Presidential Fellow award in Indianapolis, USA, recently.

She was nominated for ASA by Dr Cyril Obi from the Social Science Research Council (New York), and was selected competitively, based on her PhD thesis and applied research work in rural development in Africa. Odero obtained her PhD in Africa Studies from the UFS at the July 2014 Graduation Ceremony.

On 22 November 2014, Dr Odero gave a public lecture at the Brooklyn College of the City University of New York. The event was hosted by the Political Science Department at the College.

Her paper, titled Sources and role of social capital in smallholder agricultural production: The value of membership of community groups to Zimbabwe rural livelihoods, sought to address the question of whether social capital contributed to the resilience of rural households in the face of economic difficulties and food security challenges. Dr Odero argued that the link between social capital and agricultural production is manifest in the ways in which farmers use social capital derived from membership of groups to alleviate agricultural production challenges.

Smallholder farmers in Zimbabwe, who face constraints in acquiring the necessary resources for production because of failing markets and reduced agri-industry productive capacity, employ a range of methods to deal with these challenges.  She presented an analysis of data collected through focus group discussions with representative groups and through a household survey.

Dr Odero’s research forms part of a book project. While books on agricultural development knowledge do exist, more studies analysing issues and offering solutions from an African perspective would help to address the gap in African knowledge production.

 

For more information or enquiries contact news@ufs.ac.za

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