Existence results for a system of boundary value problems for hybrid fractional differential equations

Abstract

. In this paper, we study a system of nonlinear boundary value problems (BVPs) con- sisting of more general class of sequential hybrid fractional equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear func- tions involved depend explicitly on the fractional derivatives. We study necessary conditions required for existence of solutions to the suggested system of BVPs under the Caratheodory con- ditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.