On boundary value problems for impulsive fractional differential equations

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In the present paper, we deal with the existence of solutions for the following impulsive fractional boundary value problem: {tDTα(0cDtαu(t))+a(t)u(t)=f(t,u(t)),t≠tj,a.e.t∈[0,T],Δ(tDTα−1(0cDtαu))(tj)=Ij(u(tj)),j=1,2,…,n,u(0)=u(T)=0,where α ∈ (1/2, 1], 0=t0

论文关键词:Fractional differential equations,Boundary value problems,Impulsive problems,Solutions,Variational methods

论文评审过程:Received 24 February 2015, Revised 27 June 2015, Accepted 5 September 2015, Available online 12 November 2015, Version of Record 12 November 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.09.008