Existence results for a general class of sequential hybrid fractional differential equations

Abstract

Abstract In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.

Keywords

• Boundary value problems
• Sequential hybrid fractional differential equations
• Three point boundary conditions
• Existence and uniqueness results
• Stability analysis