Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations

DOI10.1155/2013/138068zbMath1297.45015OpenAlexW2111528303WikidataQ58915343 ScholiaQ58915343MaRDI QIDQ2016631

Yong-Kui Chang, Zhi-Han Zhao, Juan. J. Nieto

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/138068

zbMATH Keywords

fixed point theoremabstract stochastic fractional partial integro-differential equationalmost automorphic mild solutions

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Asymptotics of solutions to integral equations (45M05) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items (3)

Integral inequalities involving generalized Erdélyi-Kober fractional integral operators ⋮ Stochastic modeling of nonlinear oscillators under combined Gaussian and Poisson white noise: a viewpoint based on the energy conservation law ⋮ Chebyshev type integral inequalities involving the fractional hypergeometric operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost automorphic solutions for nonautonomous stochastic differential equations
• Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces
• Square-mean pseudo almost automorphic process and its application to stochastic evolution equations
• Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations
• A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations
• On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• On the concept of solution for fractional differential equations with uncertainty
• Almost automorphic solutions to a class of semilinear fractional differential equations
• Basic theory of fractional differential equations
• Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations
• Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
• \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
• Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
• Fractional differential equations driven by Lévy noise
• Almost automorphic solutions for some stochastic differential equations
• Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space
• Introduction to stochastic integration.
• Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
• The functional calculus for sectorial operators
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• Existence and exponential stability of almost automorphic mild solutions for stochastic functional differential equations
• Square-mean almost automorphic solutions for some stochastic differential equations
• Nonlinear functional differential equations of arbitrary orders
• Topics in Almost Automorphy
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Analysis of fractional differential equations

This page was built for publication: Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations