On boundary value problems for impulsive fractional differential equations

Nemat Nyamoradi and Rosana Rodríguez-López

Applied Mathematics and Computation, 2015, vol. 271, issue C, 874-892

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=t0Keywords: Fractional differential equations; Boundary value problems; Impulsive problems; Solutions; Variational methods (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:874-892

DOI: 10.1016/j.amc.2015.09.008

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