https://doi.org/10.1140/epjp/i2019-12590-5
Regular Article
Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative
1
Department of Mathematics, Faculty of Science & Technologys, Karnatak University, Dharwad, India
2
Department of Mathematics, Davangere University, Shivagangotri, India
3
Department of Computer Engineering, Faculty of Education, Harran University, Sanliurfa, Turkey
* e-mail: hmbaskonus@gmail.com
Received:
9
February
2019
Accepted:
22
February
2019
Published online:
30
May
2019
The pivotal aim of the present work is to analyse the dynamics of fractional mathematical model of the hepatitis E virus using the fractional Atangana-Baleanu (AB) derivative. The existence and uniqueness of the solution obtained for the proposed model are presented with the help of the fixed-point hypothesis. The Adams-Bashforth technique is employed to analyse and find the solution for the future model, and the numerical simulations have been conducted in order to validate the efficiency of the Atangana-Baleanu derivative. The present investigation shows that the dynamics of the hepatitis E virus model noticeably depends on the time instant as well as the time history, which can be efficiently modelled by employing the theory of fractional calculus.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
