A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

DOI10.1016/j.chaos.2020.110472zbMath1496.34111OpenAlexW3106968221MaRDI QIDQ2128268

V. Vijayakumar, Udhayakumar Ramalingam, C. Dineshkumar, Kottakkaran Sooppy Nisar

Publication date: 21 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110472

zbMATH Keywords

neutral systemsapproximate controllabilitynonlocal conditionsstochastic integro-differential equationsHilfer fractional evolution equations

Mathematics Subject Classification ID

Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Fractional ordinary differential equations (34A08)

Related Items (41)

APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION ⋮ A NOVEL PERSPECTIVE TO THE LOCAL FRACTIONAL BIDIRECTIONAL WAVE MODEL ON CANTOR SETS ⋮ An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain ⋮ An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality ⋮ Bessel wavelet transform and fractional Bessel wavelet transform on functions of rapid descent ⋮ Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type ⋮ Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses ⋮ Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\) ⋮ A discussion concerning the existence results for the Sobolev-type Hilfer fractional delay integro-differential systems ⋮ New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\) ⋮ A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators ⋮ Sobolev-type nonlocal conformable stochastic differential equations ⋮ Approximate controllability for mixed type non-autonomous fractional differential equations ⋮ A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\) ⋮ A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay ⋮ A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\) ⋮ A discussion on the existence and uniqueness analysis for the coupled two-term fractional differential equations ⋮ A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses ⋮ Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2 ⋮ Hilfer fractional stochastic evolution equations on infinite interval ⋮ Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space ⋮ Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump ⋮ A study on the approximate controllability of damped elastic systems using sequence method ⋮ Approximate controllability of delay nonautonomous integro‐differential system with impulses ⋮ A note concerning to optimal feedback control for Caputo fractional neutral stochastic evolution systems ⋮ NUMERICAL ANALYSIS OF SOME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS VIA LEGENDRE SPECTRAL METHOD ⋮ A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators ⋮ Investigating the existence results for Hilfer fractional stochastic evolution inclusions of order \(1< \mu < 2\) ⋮ Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators ⋮ ADAPTED HOMOTOPY PERTURBATION METHOD WITH SHEHU TRANSFORM FOR SOLVING CONFORMABLE FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ EXTENSION OF HAAR WAVELET TECHNIQUES FOR MITTAG-LEFFLER TYPE FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators ⋮ Results on the approximate controllability of Hilfer type fractional semilinear control systems ⋮ Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps ⋮ A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations ⋮ Approximate controllability of a class of semilinear Hilfer fractional differential equations ⋮ Stability analysis of a class of integral equations with not necessarily differentiable solutions ⋮ General decay stability of backward Euler-Maruyama method for nonlinear stochastic integro-differential equations ⋮ Topological properties of solution sets for Riemann-Liouville fractional nonlocal delay control systems with noncompact semigroups and applications to approximate controllability ⋮ A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2\) with impulses] ⋮ Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of fractional nonlinear differential inclusions
• Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators
• Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Approximate controllability of second-order evolution differential inclusions in Hilbert spaces
• Approximate controllability of fractional stochastic evolution equations
• Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
• Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay
• Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces
• Approximate controllability of fractional functional equations with infinite delay
• On the approximate controllability of semilinear fractional differential systems
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• 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
• Controllability of stochastic semilinear functional differential equations in Hilbert spaces.
• Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
• New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
• Existence of solutions for nonlinear fractional stochastic differential equations
• Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
• Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness
• 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
• Hilfer fractional stochastic integro-differential equations
• Existence of mild solutions for fractional evolution equations
• Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
• Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions
• On controllability of linear stochastic systems
• Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay
• Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces
• Controllability results for fractional order neutral functional differential inclusions with infinite delay
• On the controllability of fractional neutral integrodifferential delay equations with nonlocal conditions
• Null controllability of nonlocal Hilfer fractional stochastic differential equations
• Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators
• Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators
• Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain
• Basic Theory of Fractional Differential Equations

This page was built for publication: A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems