In this paper, we prove the existence of solutions for an anti-periodic boundary value problem of nonlinear impulsive fractional differential equations by applying some known fixed point theorems. Some examples are presented to illustrate the main results.

In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.

Abstract. In this paper, we investigate the existence and uniqueness of solutions for impulsive nonlinear differential equations of fractional order with nonlocal integral boundary condition. Our results are based on some suitable fixed point theorems. An illustrative example is presented.

In this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.

In this paper we investigate the existence and uniqueness of solutions of a class of partial impulsive hyperbolic differential equations with fixed time impulses involving the Caputo fractional derivative. Our main tool is a fixed point theorem.

This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

This paper is mainly concerned with the existence of solutions of impulsive fractional neutral functional differential equations in Banach Spaces. The results are obtained by using Krasnoselskii’s fixed point theorem.

In this paper, we prove the existence of solutions for nonlinear impulsive differential equations of fractional order q ∈ (n − 1, n]. The results are based on Altman's fixed point theorem and Leray-Schauder's fixed point theorem.