Controllability of fractional non-instantaneous impulsive differential inclusions without compactness†

DOI10.1093/imamci/dnx055zbMath1475.93018OpenAlexW2777562343MaRDI QIDQ5162670

Ahmed Gamal Ibrahim, Yong Zhou, JinRong Wang, Michal Fečkan

Publication date: 5 November 2021

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnx055

zbMATH Keywords

controllabilityimpulsive fractional differential inclusionsnon-instantaneousweakly convergence

Mathematics Subject Classification ID

Controllability (93B05) Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Control/observation systems in abstract spaces (93C25) Control/observation systems governed by ordinary differential equations (93C15) Impulsive control/observation systems (93C27)

Related Items (14)

\(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus ⋮ Ulam-Hyers stabilities of fractional functional differential equations ⋮ Controllability of fractional evolution inclusions with noninstantaneous impulses ⋮ Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses ⋮ Controllability of nonlinear higher-order fractional damped stochastic systems involving multiple delays ⋮ Relatively exact controllability of fractional stochastic delay system driven by Lévy noise ⋮ Total controllability of neutral fractional differential equation with non-instantaneous impulsive effects ⋮ Numerical approach to the controllability of fractional order impulsive differential equations ⋮ Approximate controllability for a kind of fractional neutral differential equations with damping ⋮ Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions ⋮ Results on abstract integro hybrid evolution system with impulses on time scales ⋮ Trajectory approximately controllability and optimal control for noninstantaneous impulsive inclusions without compactness ⋮ Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion ⋮ An explication of finite-time stability for fractional delay model with neutral impulsive conditions

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