Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives

الملخص EN

In this paper, we study the impulsive fractional differential inclusions with two different Caputo fractional derivatives and nonlinear integral boundary value conditions.

Under certain assumptions, new criteria to guarantee the impulsive fractional impulsive fractional differential inclusion has at least one solution are established by using Bohnenblust-Karlin’s fixed point theorem.

Also, some previous results will be significantly improved.