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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

Qwaqwa Campus graduates encouraged to face the world with confidence
2015-05-14

 

Speech: Nikiwe Bikitsha 

The Qwaqwa Campus of the University of the Free State conferred over 800 degrees during this year's graduation ceremonies that were held on 8-9 May 2015. These included four PhDs in Natural and Agricultural Sciences.
 
The guest speaker, eNCA's Nikiwe Bikitsha, encouraged graduates to make it their business to learn about everything, no matter where they go.
 
''Having a qualification does not mean that now there will be tasks that are beneath you. No task should ever be too insignificant for you to do,'' said Bikitsha.
 
''You should make it your business to know every aspect of your work because that is where you get opportunities. Find somebody to help you along. Asking questions sharpens your skills and broadens your horizons. Asking questions also communicates to your employers and associates that here is someone who needs to be groomed and nurtured.'' she added.
 
In his congratulatory message, UFS Chancellor, Dr Khotso Mokhele, challenged the graduates to face the journey ahead with confidence.
 
''The journey ahead depends entirely on you, '' he said.
 
''You may think it depends on your parents, your country or the government. But the truth is that this is your journey. What is critical now is the kind of choices you are going to make. There will be stumbling blocks along the way, but you have to make it through,'' said Dr Mokhele.
 
''As the university'’, he continued, ''we hope you are going to make transformative choices that will impact positively on our people, our country and our continent''.
 
Dr Mokhele paid a special tribute to the four PhD graduates, three of whom matriculated at  local Qwaqwa schools, with the fourth matriculating at Mafahlaneng, Tweeling.
 
World-renowned composer and playwright, Dr Mbongeni Ngema, provided musical entertainment.
 
Both ceremonies were attended by community, business and traditional leaders in the Maluti A Phofung area.
 
Also in attendance were over 500 grade 12 learners from Qwaqwa, Kestell, Harrismith and Bethlehem schools.

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