Eur. Phys. J. Plus (2018) 133: 100
https://doi.org/10.1140/epjp/i2018-11949-4

Regular Article

Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators

Mehmet Akif Ersoy University, Department of Mathematics, Faculty of Sciences, 15100, Burdur, Turkey

^* e-mail: ikoca@mehmetakif.edu.tr

Received: 10 January 2018
Accepted: 2 February 2018
Published online: 12 March 2018

Abstract

The model of Ebola spread within a targeted population is extended to the concept of fractional differentiation and integration with non-local and non-singular fading memory introduced by Atangana and Baleanu. It is expected that the proposed model will show better approximation than the models established before. The existence and uniqueness of solutions for the spread of Ebola disease model is given via the Picard-Lindelof method. Finally, numerical solutions for the model are given by using different parameter values.