Topological characteristics of solution sets for fractional evolution equations and applications to control systems
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Publication:2336084
DOI10.12775/TMNA.2019.033zbMath1429.34084OpenAlexW2962397065WikidataQ127531163 ScholiaQ127531163MaRDI QIDQ2336084
Zhenbin Fan, Shouguo Zhu, Gang Li
Publication date: 18 November 2019
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmna/1562551225
Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Groups and semigroups of linear operators, their generalizations and applications (47D99) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
- Unnamed Item
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- Fractional resolvents and fractional evolution equations
- Approximate controllability of fractional order semilinear systems with bounded delay
- Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
- Topological structure of solution set for a class of fractional neutral evolution equations on the half-line
- Abstract fractional Cauchy problems with almost sectorial operators
- Impulsive problems for fractional evolution equations and optimal controls in infinite dimensional spaces
- Approximate controllability for systems governed by nonlinear Volterra type equations
- Existence of mild solutions for fractional delay evolution systems
- A generalized Gronwall inequality and its application to a fractional differential equation
- Existence of mild solutions for fractional neutral evolution equations
- A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
- Topological structure of solution sets to asymptotic boundary value problems
- Semigroups of linear operators and applications to partial differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Approximation and fixed points for compositions of \(R_ \delta\)-maps
- On the solution sets of differential inclusions and the periodic problem in Banach spaces.
- Some probability densities and fundamental solutions of fractional evolution equations
- Characterization of compactness for resolvents and its applications
- Optimal controls for Riemann-Liouville fractional evolution systems without Lipschitz assumption
- Nonlinear evolution inclusions: topological characterizations of solution sets and applications
- Existence and regularity of solutions for evolution equations with Riemann-Liouville fractional derivatives
- Topological degree and nonlinear mappings of analytic type in Banach spaces
- Solution Sets for Differential Equations and Inclusions
- Invariance of the Reachable Set under Nonlinear Perturbations
- A necessary and sufficient condition for the controllability of linear systems in Hilbert spaces and applications
- Controllability of Semilinear Control Systems Dominated by the Linear Part
- Evolutionary Integral Equations and Applications
- APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION EQUATIONS WITH INTEGRAL CONTRACTOR ASSUMPTION
- Topological Fixed Point Theory of Multivalued Mappings
- Fractional delay control problems: topological structure of solution sets and its applications
- Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives
- On decreasing sequences of compact absolute retracts
