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

Abstract

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.

Positive Solutions to a Coupled Fractional Differential System with p-Laplacian Operator

“…By reading the existing literatures [11][12][13][14][15][16][17][18][19][20][21][22][23][24], we note that the fractional differential system involving -Laplacian operator and multistrip and multipoint boundary conditions has not been studied yet. Thus, in this paper, we first pay close attention to the following fractional differential system, involving -Laplacian operator and lower fractional derivatives:…”