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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

UFS researchers discover the many uses of the cactus pear
2015-02-17

UFS researchers discover the many uses of the cactus pear

For many South Africans, the dry, arid areas in many parts of the country became synonymous with cactus pear growing at random in the natural veld. For some the fruit of a cactus pear, if chilled really well, is a delicious snack on a hot summer’s day. But few actually know that these cacti can be money growing wild in the veld.

For the past 15 years, scientists  at the University of the Free State (UFS) have been looking into the benefits and many uses of the cactus pear. This project  has grown steadily in vision and dimension, and today the UFS is recognised as a world-leading institution in the world conducting multi-disciplinary research on spineless cactus pear.

Dr Maryna de Wit, from the Department of Microbial, Biochemical and Food Biotechnology, together with Prof Wijnand Swart from the Department of Plant Sciences and Prof HO de Waal from the Department of Animal, Wildlife and Grassland Sciences, determined the nutritional and, more importantly, the commercial and viable uses of the cactus pear.

The aspect of human consumption is now giving the cactus pear the status of ‘superfood’.

Dr De Wit and her team have successfully made various products using either the cactus pear fruit, the cladode (also referred to as the leaf) and the mucilage (the sticky liquid  in the cladode).

Some of these products are:

  • flour for baking carrot cake, biscuits and health breads
  • jam, fruit juice and canned fruit
  • sweets – marshmallows and Turkish delight
  • stir-fry, salads and other cooked dishes.

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