A class of Hilfer fractional stochastic differential equations and optimal controls (Q1716408)

scientific article; zbMATH DE number 7012085

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English	A class of Hilfer fractional stochastic differential equations and optimal controls	scientific article; zbMATH DE number 7012085

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instance of

scholarly article

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title

A class of Hilfer fractional stochastic differential equations and optimal controls (English)

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published in

Advances in Difference Equations

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publication date

4 February 2019

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zbMATH Keywords

optimal control

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Hilfer fractional derivative

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fractional stochastic differential equations

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full work available at URL

https://doi.org/10.1186/s13662-019-1953-3

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cites work

Q5699297

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Existence of mild solutions for fractional neutral evolution equations

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Existence of mild solutions for fractional evolution equations

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Applications of fractional calculus in physics

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Existence of mild solution for evolution equation with Hilfer fractional derivative

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Basic Theory of Fractional Differential Equations

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Nonlocal Cauchy problem for fractional evolution equations

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Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives

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On the new concept of solutions and existence results for impulsive fractional evolution equations

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Study on Sobolev type Hilfer fractional integro-differential equations with delay

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Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions

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Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations

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A class of fractional evolution equations and optimal controls

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The necessary conditions of fractional optimal control in the sense of Caputo

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Mild solution and fractional optimal control of semilinear system with fixed delay

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Optimal controls for Riemann-Liouville fractional evolution systems without Lipschitz assumption

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Approximate mild solutions of fractional stochastic evolution equations in Hilbert spaces

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Stochastic delay fractional evolution equations driven by fractional Brownian motion

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Hilfer fractional stochastic integro-differential equations

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Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2]\)

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The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators

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Fractional stochastic differential equations with Hilfer fractional derivative: Poisson jumps and optimal control

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Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps

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The solvability and optimal controls for fractional stochastic differential equations driven by Poisson jumps via resolvent operators

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Almost automorphic solutions for fractional stochastic differential equations and its optimal control

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Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay

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Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order \(1<q\leq 2\) with infinite delay and Poisson jumps

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Q4578239

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Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space

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A generalized Gronwall inequality and its application to a fractional differential equation

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Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise

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Strong and weak approximation of semilinear stochastic evolution equations

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Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals

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Identifiers

zbMATH Open document ID

1458.34025

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Mathematics Subject Classification ID

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10.1186/S13662-019-1953-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:1716408