Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)
type: Item
instance of: scholarly article
title: Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)
zbMATH Open document ID: 1395.49021
author: Zuomao Yan
author: Xiumei Jia
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2018-07-24T00:00:00Z
Mathematics Subject Classification ID: 49K45
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6909797
zbMATH Keywords: fractional stochastic functional differential equations
zbMATH Keywords: optimal controls
zbMATH Keywords: infinite delay
zbMATH Keywords: \(\alpha \)-order cosine family
zbMATH Keywords: fixed point theorem
MaRDI profile type: Publication
full work available at URL: s40840-016-0415-2
OpenAlex ID: W2519731925
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: Fractional Dynamics and Control
cites work: Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
cites work: Q3141902
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: On fractional integro-differential equations with state-dependent delay
cites work: Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
cites work: Approximate controllability of fractional nonlinear differential inclusions
cites work: Existence results for an impulsive fractional integro-differential equation with state-dependent delay
cites work: The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
cites work: Approximate controllability of nonlinear fractional dynamical systems
cites work: Local and global existence of mild solution for impulsive fractional stochastic differential equations
cites work: Fractional evolution equations in Banach spaces
cites work: Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2]\) in Banach spaces
cites work: A class of fractional evolution equations and optimal controls
cites work: On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
cites work: Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions
cites work: Existence of optimal output feedback control law for a class of uncertain infinite dimensional stochastic systems: a direct approach
cites work: Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces
cites work: Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
cites work: Exponential stability of second-order stochastic evolution equations with Poisson jumps
cites work: Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
cites work: Applied stochastic control of jump diffusions
cites work: Optimal control for semilinear evolution equations
cites work: Stochastic neutral evolution equations on Hilbert spaces with partially observed relaxed control and their necessary conditions of optimality
cites work: On backward stochastic evolution equations in Hilbert spaces and optimal control
cites work: Optimal control problem for stochastic evolution equations in Hilbert spaces
cites work: Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces
cites work: Existence result for fractional neutral stochastic integro-differential equations with infinite delay
cites work: On some fractional stochastic delay differential equations
cites work: Approximate controllability of fractional neutral stochastic system with infinite delay
cites work: Q5409475
cites work: Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
cites work: Q6104602
cites work: Maximum principle for optimal control problem of stochastic delay differential equations driven by fractional Brownian motions
cites work: Almost automorphic solutions for fractional stochastic differential equations and its optimal control
cites work: Q4163814
cites work: Stochastic Equations in Infinite Dimensions
cites work: Q4063689
cites work: A Fixed Point Theorem of Krasnoselskii—Schaefer Type
cites work: Functional differential equations with infinite delay
DOI: 10.1007/S40840-016-0415-2
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description: scientific article; zbMATH DE number 6909797