On Periodic solutions for implicit nonlinear Caputo tempered fractional differential problems

Abstract

The main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear 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.

Keywords

• coincidence degree theory
• existence
• uniqueness
• tempered fractional operators
• implicit problems
• 34a08
• 34b10
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