Indian Journal of Industrial and Applied Mathematics
  • Year: 2020
  • Volume: 11
  • Issue: 2

Existence and Uniqueness of Time-fractional Nonlocal Diffusion Systems Modelling an Epidemic Disease

1Department of Applied Sciences, National Institute of Technology Goa, Goa - 403 401, India

*E-mail: *manimaranj@nitgoa.ac.in

1shangerganesh@nitgoa.ac.in

Abstract

In this paper, we analyze the existence of weak solutions of the time-fractional SIR model with nonlocal diffusion operators. To establish the existence result, we use the Faedo-Galerkin approximation method, some apriori estimates and compactness arguments.

Keywords

Reaction-diffusion system, Weak solution, Non-local SIR model, Time-fractional