An article on Applied Mathematics, published by Prof Abdon Atangana from the University of the Free State’s Institute for Groundwater Studies in 2017, was recently named New Hot Paper by Clarivate Analytics.

Hot paper status
Essential Science Indicators (ESI) is a unique and comprehensive compilation of science performance statistics and science trends. Data is based on journal article publication counts and citation data from Clarivate Analytics that enables researchers to conduct ongoing, quantitative analyses of research performance and track trends in science. Covering a multidisciplinary selection of 1 2000+ journals from around the world, this in-depth analytical tool offers data for ranking papers, scientists, institutions, countries, and journals. 

ESI from Clarivate Analytics is updated every two months. The New Hot Papers, which are papers published in the past two years, are in the top one-tenth of one percent (0.1%) for their field and publication period. Prof Atangana’s paper had the highest cite count in the field of Mathematics. 

His article that received the New Hot Paper status is titled: “The new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation”.

The concept of fractional differential operators with non-singular kernel has captured the minds of several researchers in the past year due to their wider applicability in almost all fields of science, engineering and technology. The new fractional differential operators have opened new windows to model complex real-world problems that could not be modelled using the Newtonian and the well-known Riemann-Liouville fractional differential operators. 

“These operators are the way forward in modelling real-world problems in all disciplines, as they are able to include into mathematical formulation the effect of memory,” Prof Atangana said.

The Atangana-Baleanu fractional derivative
The professor developed a new fractional differential operator, called the Atangana-Baleanu fractional derivative. This 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.”