Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators
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Zuomao Yan
and
Yong-Hui Zhou
Abstract
In this paper, we consider the optimization problems of exact controllability for a new class of fractional impulsive partial stochastic differential systems with state-dependent delay in Hilbert spaces. By utilizing suitable fixed point approach without imposing severe compactness condition on the operators, the theory of analytic sectorial operators, stochastic analysis, and the Hausdorff measure of noncompactness, some sufficient conditions are derived for achieving the required results. Finally, an example is provided to illustrate the obtained theory.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11461019
Acknowledgments
The authors would like to thank the editor and the reviewer for their constructive comments and suggestions. This work is supported by the National Natural Science Foundation of China (11461019).
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work is supported by the National Natural Science Foundation of China (11461019).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Original Research Articles
- A reliable numerical approach for nonlinear fractional optimal control problems
- Parallel iterative finite-element algorithms for the Navier–Stokes equations with nonlinear slip boundary conditions
- Ground state solutions for nonlinear fractional Kirchhoff–Schrödinger–Poisson systems
- Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
- Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators
- Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model
- Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)
Articles in the same Issue
- Frontmatter
- Original Research Articles
- A reliable numerical approach for nonlinear fractional optimal control problems
- Parallel iterative finite-element algorithms for the Navier–Stokes equations with nonlinear slip boundary conditions
- Ground state solutions for nonlinear fractional Kirchhoff–Schrödinger–Poisson systems
- Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
- Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators
- Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model
- Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)
