Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions in Banach spaces

Abstract

In this paper, we study the existence of solutions for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions by using measure of noncompactness combined with fixed point theorem of Mönch. An example illustrating the effectiveness of the theoretical results is presented.