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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.

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"Studies indicate disability, poverty and inaccessibility to healthcare are intricately linked " - expert opinion by Dr Magteld Smith
2014-12-03

Dr Magteld Smith

Programmes worldwide attempt to improve the lives of people with disabilities, but recent studies indicated that disability and poverty, as well as disability and the inaccessibility of health care, continues to go hand in hand.

In South Africa, and even in developed countries, research shows that people with disabilities achieve lower levels of education with higher unemployment rates, live in extreme poverty and have low living standards.

“To have a disability can therefore become a huge financial burden on either the disabled person, the family or caregivers,” says Dr Magteld Smith from the Department of Otorhinolaryngology.

She devotes her research to the medical-social model of the global organisation, the International Classification of Functioning, Disabilities and Health, focusing on all areas of deafness.

Furthermore, Dr Smith says it is more difficult or more expensive for people with disabilities to obtain insurance, because of the risks associated with disability.

Dr Smith also emphasises the inaccessibility and even unavailability of medical services or health care for people with disabilities.

“Services such as psychiatry or social services are often not accessible. When such services are available, it is not affordable for most people with disabilities.”

Dr Smith uses the example of a person who was born deaf:

“Doctors have limited knowledge of the different types of hearing impairments or how to read and interpret an audiogram. Very little understanding also exists for the impact of deafness on the person’s daily life.”

Dr Smith, who is deaf herself, describes the emotional state of mind of people with disabilities as a daily process of adjustment and self-evaluation.

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