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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 involved in project to light up the townships
2006-06-06

The parties involved with the project are from the left: Prof Hendrik Swart (Departmental Chairperson of the UFS Department of Physics), Dr Thembela Hillie (CSIR), Prof Neerich Revaprasadu (Department of Chemistry at the University of Zululand) and Dr Wynand Steyn (CSIR).

UFS involved in project that could light up the townships   

The University of the Free State’s (UFS) Department of Physics is involved with a project that could make life easier in the townships through the use of artificial light.

“The project is based on the use of sunlight to activate nano material in for example cement and paint during the day. At night the cement or paint can then radiate light,” said Prof Hendrik Swart, Departmental Chairperson of the UFS Department of Physics.

According to Prof Swart an amount of R3,9 million has been made available by the Council for Scientific and Industrial Research (CSIR) for the further development of the project.   

Prof Swart visited the University of Florida in America in 1995 for a year where he researched luminescent phosphor material that is suitable for flat panel television screens.  The red, green and blue spots on the television screens originate from these kinds of phosphor materials.  “At that stage plasma television screens were only a dream.  Today it is sold everywhere,” said Prof Swart. 

“Upon my return I started a research group at the UFS which investigated the degrading of phosphor material.  We also started to concentrate on the effectiveness of nano phosphors.  In the mean time our cooperation with the Americans was strengthened with follow-up visits to America of my colleagues, Prof Koos Terblans and Mr Martin Ntwaeaborwa,” said Prof Swart.

“Nano phosphors are basically luminescent powders that consist of particles that are 1 millionth of a millimetre.  These particles can provide light as soon as they are illuminated with, for instance, sunlight.  The amount of time these particles can provide light, is determined by the impurities in the material,” said Prof Swart.

According to Prof Swart nano particles are developed and linked to infrastructure materials in order for these materials to be excited during the day by sunlight and then it emits light during night time.

“The nano material is of such a nature that it can be mixed with materials, such as paint or cement. The yellow lines of roads can for example emit light in a natural way during night time,” said Prof Swart.

About a year ago Prof Swart and Dr Thembela Hillie, a former Ph D-student of the UFS Department of Physics, had discussions with Prof Neerich Revaprasadu from the University of Zululand and the CSIR about the possibility of mixing these nano phosphor particles with other materials that can be used as light sources in the building of roads and houses.

“Prof Revaprasadu is also actively involved in the research of nano materials.  Our efforts resulted in the CSIR approving the further extension of the project,” said Prof Swart.   

“The UFS and the University of Zululand are currently busy investigating ways to extend the light emitting time,” said Prof Swart.  

“There are eight M Sc and Ph D-students from the UFS and about five students from the University of Zululand working on this research project.  The Department of Physics at the Qwaqwa Campus of the UFS, with Francis Dejene as subject head, is also involved with the project,” said Prof Swart.

According to Prof Swart the further applications of nano materials are unlimited.  “Children whose parents cannot afford electricity can for instance leave any object such as a lamp, that is covered with these phosphor particles, in the sun during the day and use it at night as a light for study purposes,” said Prof Swart.

According to Prof Swart the further extension of the project will take about two years.  “During this time we want to determine how the effectiveness of the phosphors can be increased.  Discussions with the government and other role players for the possible implementation of the project are also part of our planning,” said Prof Swart.


Media release
Issued by: Lacea Loader
Media Representative
Tel:   (051) 401-2584
Cell:  083 645 2454
E-mail:  loaderl.stg@mail.uovs.ac.za
6 June 2006

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