Existence results for hybrid fractional differential equations with three-point boundary conditions

Abstract

We investigate the existence and uniqueness of solutions of problems of three point boundary values of hybrid fractional differential equations with a fractional derivative of Caputo of order α ∈ [1, 2], the results are obtained drawing on the standard fixed point theorems. The results are illustrated by a some examples.

Keywords

• fractional differential equations
• boundary value problems
• hybrid
• existence results
• fixed point theorem