Mean-square asymptotically almost automorphic solutions to fractional stochastic relaxation equations
DOI10.1155/2015/143591zbMath1339.34016OpenAlexW1923256951WikidataQ59106891 ScholiaQ59106891MaRDI QIDQ274758
Publication date: 25 April 2016
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/143591
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05) Linear differential equations in abstract spaces (34G10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo almost automorphic solutions of class \(r\) for some partial functional 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
- 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
- Massera type theorem for almost automorphic solutions of functional differential equations of neutral type
- Almost automorphic solutions to a class of semilinear fractional differential equations
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations
- Existence of positive almost automorphic solutions to nonlinear delay integral equations
- Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
- Fractals and fractional calculus in continuum mechanics
- Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
- Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces
- Almost automorphic mild solutions to fractional differential equations
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
- Mild solutions for abstract fractional differential equations
- Square-mean almost automorphic solutions for some stochastic differential equations
- Topics in Almost Automorphy
- Almost automorphic solutions of semilinear evolution equations
- Almost automorphic solutions of evolution equations
- A NEW APPROACH TO ALMOST PERIODICITY
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Mean-square asymptotically almost automorphic solutions to fractional stochastic relaxation equations
