A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
From MaRDI portal
Publication:2167261
DOI10.1186/s13662-021-03639-8zbMath1494.34168OpenAlexW3214275702WikidataQ115241157 ScholiaQ115241157MaRDI QIDQ2167261
Anurag Shukla, Shahram Rezapour, V. Vijayakumar, Wasim Jamshed, Kottakkaran Sooppy Nisar
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03639-8
approximate controllabilityresolvent operatorsGronwall's inequalitysecond-order integro-differential systems
Controllability (93B05) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10) Applications of operator theory to differential and integral equations (47N20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximate controllability of fractional nonlinear differential inclusions
- Ulam-Hyers stability for MKC mappings via fixed point theory
- Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators
- Approximate controllability of second-order semilinear control system
- Existence of solutions of abstract non-autonomous second order integro-differential equations
- Approximate controllability of second-order evolution differential inclusions in Hilbert spaces
- Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay
- Controllability of second-order impulsive nonlocal Cauchy problem via measure of noncompactness
- Existence of solutions of non-autonomous second order functional differential equations with infinite delay
- Existence of global solutions for second order impulsive abstract partial differential equations
- Fixed-point results for multi-valued operators in quasi-ordered metric spaces
- Approximate controllability of semilinear fractional control systems of order \(\alpha\in (1, 2\) with infinite delay]
- The Kneser property for the second order functional abstract Cauchy problem
- Common fixed points for generalized \(\varphi \)-pair mappings on cone metric spaces
- Analytic resolvent operators for integral equations in Banach space
- Some considerations for linear integrodifferential equations
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- Controllability for a class of fractional neutral integro-differential equations with unbounded delay
- A fixed point theorem and the Ulam stability in generalized dq-metric spaces
- An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
- Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
- Controllability results for fractional semilinear delay control systems
- Impulsive Caputo-Fabrizio fractional differential equations in \(b\)-metric spaces
- Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness
- A new mathematical model for Zika virus transmission
- On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
- A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions
- 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
- Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
- On the approximate controllability of second-order evolution hemivariational inequalities
- An admissible hybrid contraction with an Ulam type stability
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- Approximate controllability of fractional semilinear stochastic system of order \(\alpha \in (1,2\)]
- Approximate controllability of evolution systems with nonlocal conditions
- A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\)
- Existence and optimal control results for second-order semilinear system In Hilbert spaces
- Maximal regularity for second order non-autonomous Cauchy problems
- Controllability of Semilinear Control Systems Dominated by the Linear Part
- Resolvent Operators for Integral Equations in a Banach Space
- Cosine families and abstract nonlinear second order differential equations
- On controllability of linear stochastic systems
- Approximate controllability of semilinear fractional stochastic control system
- Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces
- Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces
- 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
- On a coupled Caputo conformable system of pantograph problems
- Fixed point theorems in partial metric spaces with an application
- On cosine operator functions and one-parameter groups of operators
- A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 < r < 2 in Banach spaces
- Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability
This page was built for publication: A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
