Sensitivity analysis for a fractional stochastic differential equation with \(S^p\)-weighted pseudo almost periodic coefficients and infinite delay
DOI10.1007/S13540-022-00098-0zbMath1503.34035OpenAlexW4307411065WikidataQ115375589 ScholiaQ115375589MaRDI QIDQ2110594
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00098-0
infinite delaysensitivity propertiesimpulsive stochastic differential equations\(\alpha\)-order fractional resolvent operator\(S^p\)-weighted pseudo almost periodic in distribution
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractional derivatives and integrals (26A33) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Ordinary differential equations and systems with randomness (34F05) Applications of operator theory to differential and integral equations (47N20) Sensitivity analysis for optimization problems on manifolds (49Q12) Fractional ordinary differential equations (34A08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Favard separation method for almost periodic stochastic differential equations
- Pseudo almost periodic mild solution of nonautonomous impulsive integro-differential equations
- Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations
- Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations
- S-asymptotically \(\omega\)-positive periodic solutions for a class of neutral fractional differential equations
- Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- Weak averaging of semilinear stochastic differential equations with almost periodic coefficients
- Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
- Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients
- Functional differential equations with infinite delay
- Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
- Characterization of compactness for resolvents and its applications
- Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations
- Sensitivity to small delays of pathwise stability for stochastic retarded evolution equations
- Sensitivity analysis of distributed-parameter optimal control problems for nonlinear parabolic equations
- Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory
- Piecewise weighted pseudo almost periodicity of impulsive integro-differential equations with fractional order \(1<\alpha<2\)
- Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations
- Global sensitivity analysis for models described by stochastic differential equations
- Optimal controllability of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations
- Almost automorphy and various extensions for stochastic processes
- Sensitivity of optimal solutions to control problems for second order evolution subdifferential inclusions
- Almost automorphic solutions for stochastic differential equations driven by Lévy noise
- Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
- Almost periodic linear differential equations with non-separated solutions
- Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory
- Existence and global attractiveness of a pseudo almost periodic solution inp-th mean sense for stochastic evolution equation driven by a fractional Brownian motion
- Piecewise weighted pseudo almost periodic functions and applications to impulsive differential equations
- Almost periodic solutions for stochastic differential equations with Lévy noise
- Almost periodic solutions of affine stochastic evolution equations
- Periodic and almost periodic solutions for semilinear stochastic equations
- Sensitivity Analysis of Optimal Control Problems Described by Differential Hemivariational Inequalities
- Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay
- STEPANOV-LIKE PSEUDO ALMOST PERIODIC SOLUTIONS FOR IMPULSIVE PERTURBED PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL
- Stepanov-like pseudo almost periodicity in distribution and optimal control to impulsive partial stochastic differential equations
- The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
- Almost periodic solutions for impulsive fractional differential equations
- Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Sensitivity analysis for a fractional stochastic differential equation with \(S^p\)-weighted pseudo almost periodic coefficients and infinite delay