Soufyane Bouriah, Abdelkrim Salim, Mouffak Benchohra

On Periodic Problems with Nonlinear Caputo Tempered Fractional Differential Equations

abstract:
The main goal of this paper is to study the existence and uniqueness of periodic solutions for a problem with fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, two illustrative examples will be demonstrated.

Mathematics Subject Classification: 34A08, 34B10, 34B40

Key words and phrases: Coincidence degree theory, existence, uniqueness, tempered fractional operators