Nonlocal coupled hybrid fractional system of mixed fractional derivatives via an extension of Darbo's theorem

Abstract

<abstract> In this work a new existence result is established for a coupled fractional system consisting of one Caputo and one Riemann-Liouville fractional derivatives and nonlocal hybrid boundary conditions. A new generalization of Darbo's theorem associated with measures of noncompactness is the main tool in our approach. An example is constructed to justify the theoretical result. </abstract>