Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Abstract

Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid differential equations involving the Riesz-Caputo fractional derivative. For this motive, the results are obtained via classical results due to Dhage.

Keywords

• fixed point theorem
• coupled system of hybrid boundary value problems
• existence of solutions
• riesz-caputo fractional derivative
• 34a08
• 34a12