Ravi P. Agarwal, Mouffak Benchohra, and Boualem Attou Slimani

Existence Results for Differential Equations with Fractional Order and Impulses

abstract:
In this paper we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative of order $\alpha\in (1,2]$.

Mathematics Subject Classification: 26A33

Key words and phrases: Initial value problem, fractional differential equations, impulses, Caputo fractional derivative, fractional integral, nonlocal conditions, existence, uniqueness, fixed point