ON THREE-POINT HADAMARD-TYPE FRACTIONAL BOUNDARY VALUE PROBLEMS

Abstract

In this paper, we study the existence of solutions for a fractional bound- ary value problem involving Hadamard type fractional differential equations and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko's fixed point theorem. As an application, we discuss a Hadamard type boundary value problem with fractional integral boundary conditions. We emphasize that our re- sults are new in the context of Hadamard fractional calculus and are well illustrated with the aid of examples.