Existence and uniqueness results for sequential $\psi$-Hilfer fractional differential equations with multi-point boundary conditions

Abstract

In this paper, we study  multi-point boundary value problems for sequential fractional  differential equations involving $\psi$-Hilfer fractional derivative. Existence and uniqueness results are obtained by using the classical   fixed point theorems of Banach, Krasnoselskii and the nonlinear alternative of Leray-Schauder. Examples illustrating  our results are also presented.