S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations

Xiao-Bao Shu, Fei Xu and Yajing Shi

Applied Mathematics and Computation, 2015, vol. 270, issue C, 768-776

Abstract: In this paper, we investigate the existence of the S-asymptotically ω-positive periodic solutions to a class of semilinear neutral Caputo fractional differential equations with infinite delay, given by {Dtα(x(t)+F(t,xt))+A(x(t))=G(t,xt),t≥0,x(0)=φ∈B.The function is considered in a Banach space X for 0 < α < 1. Here −A denotes the infinitesimal generator of an analytic semigroup {T(t)}t ≥ 0.

Keywords: Fractional abstract differential equation; Neutral fractional differential equations; S-asymptotically ω-positive periodic solutions; Mild solutions; Analytic semigroups; Fading space (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:768-776

DOI: 10.1016/j.amc.2015.08.080

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