Well posedness for semidiscrete fractional Cauchy problems with finite delay
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摘要
We address the study of well posedness on Lebesgue spaces of sequences for the following fractional semidiscrete model with finite delay (0.1)Δαu(n)=Tu(n)+βu(n−τ)+f(n),n∈N,0<α≤1,β∈R,τ∈N0,where T is a bounded linear operator defined on a Banach space X (typically a space of functions like Lp(Ω),1
论文关键词:Fractional differences,Delay equations,Well-posedness,Maximal regularity,Operator-valued Fourier multiplier
论文评审过程:Received 1 May 2017, Accepted 28 July 2017, Available online 7 August 2017, Version of Record 18 April 2018.
论文官网地址:https://doi.org/10.1016/j.cam.2017.07.027