Existence of solutions for nonlinear impulsive higher order fractional differential equations

Abstract

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

Keywords

• nonlinear fractional differential equations
• impulse
• initial value problem
• existence of solutions
• fixed point theorem