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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

Active citizenship key to building healthier communities
2014-09-22

Photo: Mamosa Makaya

The Office of Community Engagement in collaboration with Bloem Shelter, hosted a three-day Indaba on active citizenship. The focus of the event was to engage local government leaders, NGOs and social services groups on creating a society that is healthier, safer and more informed.

The over-arching theme of the Indaba centred on the strengthening of family structures, social and health service delivery, spiritual healing and counselling. Amongst the various speakers was Rev Jennifer Samdaan, Minister in the Methodist Church and community activist. During her presentation, ‘Youth, Women and Children at Risk in South Africa', she highlighted the challenges that women and youth in townships and rural areas deal with in their daily lives. One example is physical and sexual violence while commuting to school and work. Rev Samdaan’s organisation has been instrumental in engaging municipal authorities in the region of Kokstad to provide security and lighting on roads where women are most vulnerable to violent attacks as they commute from work.

Community workers discussed their contributions in the fields of marital and family counselling and mental health support services. They discussed the benefits of their collaboration with local judicial bodies and other community leaders to render services to victims of domestic violence.

Rev Billyboy Ramahlele, Director in the Office of Community Engagement, emphasised the role of leadership and the responsibility of political leaders and citizens alike to ensure accountability in the quest to build a healthier society.

Vanessa Booysen, a neonatal consultant for Newborn Care in South Africa, demonstrated the importance of bonding between mothers and their babies. She called attention to the negative effects on the development of babies when separated from their mothers and the future challenges this causes. Modern medicine also leads to fewer women giving birth naturally. Booysen stressed that "it matters how we are born". She encouraged health practitioners to go back to basics in maternal care to lessen the negative effects that pass onto children into adulthood.

The workshop concluded with an exhibition by various groups that showcased the information resources and services offered to communities in the Free State.

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