Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications
DOI10.1080/01630563.2022.2026956zbMath1498.34204OpenAlexW3205898457MaRDI QIDQ5075717
Yi-rong Jiang, An Chen, Ting-Ting Li
Publication date: 11 May 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2022.2026956
approximate controllabilitynonlocal initial conditionsreachable invariant setcompact \(\mathbf{R}_\delta\) setcontrol problem for Hilfer fractional delay evolution equations
Controllability (93B05) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- On controllability of nonlocal retarded semilinear distributed control systems
- On the approximate controllability of fractional evolution equations with generalized Riemann-Liouville fractional derivative
- Approximate controllability for systems governed by nonlinear Volterra type equations
- Existence of mild solutions for fractional delay evolution systems
- Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces
- Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps
- A generalized Gronwall inequality and its application to a fractional differential equation
- Existence of mild solutions for fractional neutral evolution equations
- Semigroups of linear operators and applications to partial differential equations
- A partial functional differential equation of Sobolev type
- Approximation and fixed points for compositions of \(R_ \delta\)-maps
- Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
- Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces
- Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
- Topological characteristics of solution sets for fractional evolution equations and applications to control systems
- Topological structure of the solution set for evolution inclusions
- Results on controllability of nonlinear Hilfer fractional stochastic system
- Topological degree and nonlinear mappings of analytic type in Banach spaces
- An extension of Tietze's theorem
- Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions
- Invariance of the Reachable Set under Nonlinear Perturbations
- On controllability of linear stochastic systems
- On Concepts of Controllability for Deterministic and Stochastic Systems
- Controllability for a class of second order functional evolution differential equations without uniqueness
- Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces
- Fractional delay control problems: topological structure of solution sets and its applications
This page was built for publication: Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications