Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2
From MaRDI portal
Publication:6071014
DOI10.1002/mma.8200zbMath1530.93026OpenAlexW4220699835MaRDI QIDQ6071014
Udhayakumar Ramalingam, Unnamed Author
Publication date: 27 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8200
approximate controllabilitystochastic systemfractional derivativeSobolev type equationVolterra-Fredholm integro-differential equation
Controllability (93B05) Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Stochastic systems in control theory (general) (93E03) Volterra integral equations (45D05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Approximate controllability of second-order semilinear control system
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- The controllability of fractional control systems with control delay
- Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
- Approximate controllability of fractional stochastic evolution equations
- Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces
- Existence and controllability results for fractional semilinear differential inclusions
- Approximate controllability of semilinear fractional control systems of order \(\alpha\in (1, 2\) with infinite delay]
- Existence of the mild solution for some fractional differential equations with nonlocal conditions
- On integral solutions of some nonlocal fractional differential equations with nondense domain
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- A partial functional differential equation of Sobolev type
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On a mild solution of a semilinear functional-differential evolution nonlocal problem
- Existence and regularity of weak solutions for \(\psi\)-Hilfer fractional boundary value problem
- Controllability results for fractional semilinear delay control systems
- Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness
- A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
- A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
- An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain
- Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
- A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay
- Numerical approach to the controllability of fractional order impulsive differential equations
- Results on controllability of non-densely characterized neutral fractional delay differential system
- Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay
- Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces
- On the nonlinear \(varPsi\)-Hilfer fractional differential equations
- Approximate controllability of fractional semilinear stochastic system of order \(\alpha \in (1,2\)]
- A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\)
- Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
- Vector-valued Laplace Transforms and Cauchy Problems
- Cosine families and abstract nonlinear second order differential equations
- Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
- On controllability of linear stochastic systems
- Controllability of semilinear stochastic control system with finite delay
- Approximate controllability of semilinear fractional stochastic control system
- Controllability results for fractional order neutral functional differential inclusions with infinite delay
- A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay
- Basic Theory of Fractional Differential Equations