46 citations · 60 across the 4 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.AP2021★ 2 cited
Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivatives. We obtain a special solution using an iterative scheme via Laplace transformati…
math.OC2021★ 12 cited
Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
The main aim of the present work is to study and analyze a reaction-diffusion fractional version of the SIR epidemic mathematical model by means of the non-local and non-singular A…