Existence results for fractional order impulsive functional differential equations with multiple delays

Abstract

Abstract In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main results.

Keywords

• Fractional order functional differential equations
• Impulsive
• Fixed point theorem