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On boundary value problems for impulsive fractional differential equations

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  • Nyamoradi, Nemat
  • Rodríguez-López, Rosana

Abstract

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

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  • Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:874-892
    DOI: 10.1016/j.amc.2015.09.008
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    1. Zhao, Yulin & Chen, Haibo & Xu, Chengjie, 2017. "Nontrivial solutions for impulsive fractional differential equations via Morse theory," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 170-179.

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