Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\)

DOI10.1186/s13662-021-03373-1zbMath1494.34046OpenAlexW3164226020MaRDI QIDQ2166966

V. Vijayakumar, Le Nhat Huynh, Udhayakumar Ramalingam, M. Mohan Raja, 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/s13662-021-03373-1

zbMATH Keywords

approximate controllabilityhemivariational inequalitiesfractional evolution inclusionsgeneralized Clarke's subdifferentialMainardi's Wright-type function

Mathematics Subject Classification ID

Controllability (93B05) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (20)

An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality ⋮ Asymptotic stability of fractional order (1,2 stochastic delay differential equations in Banach spaces] ⋮ 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 ⋮ Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type ⋮ New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\) ⋮ Approximate controllability analysis of impulsive neutral functional hemivariational inequalities ⋮ Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2) ⋮ An analysis on approximate controllability of Atangana-Baleanu fractional semilinear control systems ⋮ Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2) ⋮ Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < r < 2 with sectorial operators ⋮ Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space ⋮ Optimal control of non-instantaneous impulsive second-order stochastic McKean-Vlasov evolution system with Clarke subdifferential ⋮ Existence of solution for Volterra–Fredholm type stochastic fractional integro‐differential system of order μ ∈ (1, 2) with sectorial operators ⋮ EXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE ⋮ An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities ⋮ Unnamed Item ⋮ New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\) ⋮ A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2\) with impulses] ⋮ 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
• Approximate controllability of fractional nonlinear differential inclusions
• Approximate controllability of fractional order semilinear systems with bounded delay
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Approximate controllability for a class of hemivariational inequalities
• A generalized Gronwall inequality and its application to a fractional differential equation
• 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
• 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 discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spaces
• 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
• 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
• Existence results for quasilinear parabolic hemivariational inequalities
• Vector-valued Laplace Transforms and Cauchy Problems
• Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach
• Optimization and nonsmooth analysis
• Cosine families and abstract nonlinear second order differential equations
• Exact and trajectory controllability of second‐order evolution systems with impulses and deviated arguments
• On the approximate controllability for fractional evolution inclusions of Sobolev and Clarke subdifferential type
• Neutral fractional stochastic partial differential equations with Clarke subdifferential
• Basic Theory of Fractional Differential Equations
• On the approximate controllability for fractional evolution hemivariational inequalities
• On existence of solutions for parabolic hemivariational inequalities

This page was built for publication: Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\)