Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)
From MaRDI portal
Publication:723630
DOI10.1007/s40840-016-0415-2zbMath1395.49021OpenAlexW2519731925MaRDI QIDQ723630
Publication date: 24 July 2018
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-016-0415-2
infinite delayfixed point theoremoptimal controls\(\alpha \)-order cosine familyfractional stochastic functional differential equations
Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) General theory of functional-differential equations (34K05) Optimality conditions for problems involving randomness (49K45)
Related Items (10)
Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness ⋮ A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces ⋮ Optimal controls for Riemann-Liouville fractional evolution systems without Lipschitz assumption ⋮ A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 < r < 2 in Banach spaces ⋮ New results concerning to approximate controllability of fractional integro‐differential evolution equations of order 1 < r < 2 ⋮ Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0<H<\frac{1}{2}\), and Poisson jumps ⋮ Existence and controllability of nonlocal mixed <scp>Volterra‐Fredholm</scp> type fractional delay integro‐differential equations of order 1 < r < 2 ⋮ A class of Hilfer fractional stochastic differential equations and optimal controls ⋮ Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations ⋮ A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2\) with impulses]
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximate controllability of fractional nonlinear differential inclusions
- Approximate controllability of nonlinear fractional dynamical systems
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
- Optimal control for semilinear evolution equations
- A class of fractional evolution equations and optimal controls
- Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
- On fractional integro-differential equations with state-dependent delay
- Existence results for an impulsive fractional integro-differential equation with state-dependent delay
- Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces
- On backward stochastic evolution equations in Hilbert spaces and optimal control
- On some fractional stochastic delay differential equations
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Functional differential equations with infinite delay
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
- Existence of optimal output feedback control law for a class of uncertain infinite dimensional stochastic systems: a direct approach
- Approximate controllability of fractional neutral stochastic system with infinite delay
- Exponential stability of second-order stochastic evolution equations with Poisson jumps
- Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions
- Local and global existence of mild solution for impulsive fractional stochastic differential equations
- On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
- Stochastic neutral evolution equations on Hilbert spaces with partially observed relaxed control and their necessary conditions of optimality
- Maximum principle for optimal control problem of stochastic delay differential equations driven by fractional Brownian motions
- Optimal Relaxed Control of Dissipative Stochastic Partial Differential Equations in Banach Spaces
- Optimal control problem for stochastic evolution equations in Hilbert spaces
- Existence result for fractional neutral stochastic integro-differential equations with infinite delay
- Fractional Dynamics and Control
- Almost automorphic solutions for fractional stochastic differential equations and its optimal control
- Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
- Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
- A Fixed Point Theorem of Krasnoselskii—Schaefer Type
- Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
- Applied stochastic control of jump diffusions
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)
