S-asymptotically \(\omega\)-periodic mild solutions of neutral fractional differential equations with finite delay in Banach space

DOI10.1007/S00009-017-0855-4zbMath1368.34096OpenAlexW2592013559MaRDI QIDQ2362994

Fang Li, Hui-Wen Wang

Publication date: 12 July 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0855-4

zbMATH Keywords

analytic semigroupfinite delayCaputo derivativeneutral fractional differential equationS-asymptotically \(\omega\)-periodic

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13) Functional-differential equations with fractional derivatives (34K37)

Related Items (18)

Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay ⋮ Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Existence and uniqueness of \(S\)-asymptotically periodic \(\alpha\)-mild solutions for neutral fractional delayed evolution equation ⋮ Existence and asymptotic behavior of square-mean \(S\)-asymptotically periodic solutions for fractional stochastic evolution equation with delay ⋮ A study on asymptotically periodic behavior for evolution equations with delay in Banach spaces ⋮ A study on mild solutions for multi-term time fractional measure differential equations ⋮ A study on decay mild solutions of damped elastic systems with nonlocal conditions in Banach spaces ⋮ On the \(S\)-asymptotically \(\omega\)-periodic mild solutions for multi-term time fractional measure differential equations ⋮ Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Lower and upper solutions for damped elastic systems with delay in ordered Banach space ⋮ Unnamed Item ⋮ Existence and global asymptotic behavior of \(S\)-asymptotically \(\omega\)-periodic solutions for evolution equation with delay ⋮ \(S\)-asymptotically periodic solutions for time-space fractional evolution equation ⋮ Existence and asymptotic periodicity of solutions for neutral integro-differential evolution equations with infinite delay ⋮ Positive mild solutions for damped elastic systems with delay and nonlocal conditions in ordered Banach space ⋮ Monotone iterative technique for S-asymptotically periodic problem of fractional evolution equation with finite delay in ordered Banach space ⋮ Existence of positive S-asymptotically periodic solutions of the fractional evolution equations in ordered Banach spaces

Cites Work

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• Existence results for abstract partial neutral integro-differential equation with unbounded delay
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