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


Adel Lachouri, Abdelouaheb Ardjouni, Ahcene Djoudi




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.