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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

Sought-after fellowship for Deaf Kovsie academic
2012-04-25

 

Magteld Smith
Photo: Provided
25 April 2012

For a Deaf person to achieve academic excellence in a sound-dominated world is extremely challenging, but Ms Magteld Smith sees each challenge as another opportunity.

Ms Smith, a Medical Social Researcher at the University of the Free State (UFS), recently received the Herbert H Humphrey fellowship. She is one of only two South Africans to receive this fellowship.
 
The Humphrey Fellowship Program provides mid-career professionals from designated countries around the world with an opportunity to enhance their professional capabilities through participation and is developed specifically for small clusters of Humphrey Fellows at 18 selected US universities.
 
It was initiated in 1978 to honour the memory and accomplishments of the former Senator and Vice-President, Humbert H. Humphrey. Fellows are selected based on their potential for national leadership and commitment to public service, in either the public or private sector. The programme provides a basis for establishing long-lasting productive partnerships and relationships between citizens of the United States and their professional counterparts in other countries, fostering an exchange of knowledge and mutual understanding throughout the world.
 
Ms Smith applied for this fellowship, but was still very surprised when she heard her application was successful.
 
“Upon receiving the news, in my mind I saw an enormous rotating world globe and I asked my Heavenly Father, "What is happening now?" I saw big libraries with books, laboratories, state of the art technology for people with hearing impairments, big cars, big houses, big trucks, big farmers, big women and the White House with big trouble. Furthermore, I saw how the UFS became the world leader of academic excellence and change for people with disabilities with high technology manufacturing and rehabilitation programmes.”
 
Ms Smith says Prof. Jonathan Jansen, UFS Vice-Chancellor and Rector, is a great asset, because for the first time people with disabilities are high on the priority list.

 

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