Periodic solutions and \(S\)-asymptotically periodic solutions to fractional evolution equations

DOI10.1155/2017/1364532zbMath1373.34014OpenAlexW2604303985WikidataQ59143080 ScholiaQ59143080MaRDI QIDQ2398764

Yong Zhou, Jia Mu, Li Peng

Publication date: 21 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/1364532

zbMATH Keywords

periodic solutionsfractional evolution equationsWeyl-Liouville fractional derivative\(S\)-asymptotically periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11) Fractional ordinary differential equations (34A08)

Related Items (12)

Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives ⋮ Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators ⋮ Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions ⋮ Existence and stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion ⋮ Uniform stability for fractional Cauchy problems and applications ⋮ Weyl-almost periodic solutions and asymptotically Weyl-almost periodic solutions of abstract Volterra integro-differential equations ⋮ Asymptotically almost periodicity for a class of Weyl-Liouville fractional evolution equations ⋮ Almost periodic functions and their applications: a survey of results and perspectives ⋮ A note on (asymptotically) Weyl-almost periodic properties of convolution products ⋮ S-asymptotically \(\omega\)-periodic mild solutions and stability analysis of Hilfer fractional evolution equations ⋮ Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations ⋮ Asymptotically periodic solutions for Caputo type fractional evolution equations

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