Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law

الملخص EN

In this paper, we study an epidemic model with Atangana-Baleanu-Caputo fractional derivative.

We obtain a special solution using an iterative scheme via Laplace transformation.

Uniqueness and existence of a solution using the Banach fixed point theorem are studied.

A detailed analysis of the stability of the special solution is presented.

Finally, our generalized model in the derivative sense is solved numerically by the Adams-Bashforth-Moulton method.