A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\)
From MaRDI portal
Publication:2170312
DOI10.1016/J.CHAOS.2021.111615zbMath1498.34044OpenAlexW3214808381MaRDI QIDQ2170312
V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar
Publication date: 2 September 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111615
controllabilitySchauder's fixed point theoremLipschitz continuityimpulsive systemGronwall's inequalityfractional differential system
Controllability (93B05) Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)
Related Items (15)
APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION ⋮ An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses ⋮ On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators ⋮ Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay ⋮ Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay ⋮ Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\) ⋮ Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator ⋮ Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space ⋮ Existence and partial approximate controllability of nonlinear Riemann-Liouville fractional systems of higher order ⋮ New notion of mild solutions for higher-order Riemann-Liouville fractional systems involving non-instantaneous impulses ⋮ Analytic resolvent semilinear integro‐differential systems: Existence and optimal control ⋮ New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness ⋮ An analysis on approximate controllability results for impulsive fractional differential equations of order 1 < r < 2 with infinite delay using sequence method ⋮ New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions ⋮ Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay
- Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
- Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
- Approximate controllability of fractional order semilinear systems with bounded delay
- Controllability for a class of fractional-order neutral evolution control systems
- Approximate controllability of semilinear partial functional differential systems
- Approximate controllability of a delayed semilinear control system with growing nonlinear term
- On the approximate controllability of semilinear fractional differential systems
- 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]
- Approximate controllability results of semilinear integrodifferential equations with infinite delays
- Existence of mild solutions for fractional neutral evolution equations
- Semigroups of linear operators and applications to partial differential equations
- Approximate controllability of impulsive neutral stochastic differential equations driven by Poisson jumps
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- Controllability results for fractional semilinear delay control systems
- Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
- Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness
- A study on controllability of impulsive fractional evolution equations via resolvent operators
- A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
- A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay
- A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
- Asymptotic stability of fractional order (1,2 stochastic delay differential equations in Banach spaces]
- Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
- Existence results of Hilfer integro-differential equations with fractional order
- A study on impulsive fractional hybrid evolution equations using sequence method
- On the approximate controllability of second-order evolution hemivariational inequalities
- New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
- Controllability of second-order impulsive evolution systems with infinite delay
- Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique
- 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 impulsive semilinear stochastic system with delay in state
- S-Controllability of an Abstract First Order Semilinear Control System
- Approximate Controllability for a Class of Semilinear Abstract Equations
- Controllability of Semilinear Control Systems Dominated by the Linear Part
- Cosine families and abstract nonlinear second order differential equations
- A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay
- Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system
- Controllability of second‐order Sobolev‐type impulsive delay differential systems
This page was built for publication: A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\)
