Yong-Kui Chang

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This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust–Karlin’s fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity F has(More)
respectively, where F : [0,T]×D→ (Rn) is amultivaluedmap,D = {ψ : [−r,0]→Rn; ψ is continuous everywhere except for a finite number of points t̃ at which ψ(t̃−) and ψ(t̃+) exist with ψ(t̃−)= ψ(t̃)}, φ ∈D, p : [0,T]→R+ is continuous, η ∈Rn, (Rn) is the family of all nonempty subsets of Rn, 0 < r < ∞, 0 = t0 < t1 < ··· < tm < tm+1 = T , Ik, Jk : Rn → Rnk = 1,(More)
In this paper, we prove the existence of mild solutions for a first order impulsive neutral evolution differential inclusion with state-dependent delay. We transform it into an integral equation and use a fixed point theorem for condensing multi-valued maps. As an application of the main theorem, we consider the case when the multi-valued nonlinearity has(More)
* Correspondence: lzchangyk@163. com Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, PR China Full list of author information is available at the end of the article Abstract This article deals primarily with the existence and uniqueness of square-mean almost automorphic mild solutions for a class of stochastic differential(More)