Measure of noncompactness and fractional hybrid differential equations with hybrid conditions

Abstract

. This paper deals with the existence of solutions for hybrid fractional differential equa- tions involving Caputo fractional derivative of order 2 < ζ (cid:2) 3. We base our arguments on a generalization of Darbo’s fi xed point theorem combined with the approaches related with mea- sures of noncompactness in Banach algebras. To demonstrate the argument, an illustration is provided.