Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses

DOI10.1016/j.amc.2020.125633zbMath1474.34384OpenAlexW3085091785MaRDI QIDQ2661028

Muslim Malik, Vipin Kumar, Amar Debbouche

Publication date: 1 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125633

zbMATH Keywords

Mittag-Leffler functioncontrollabilitystability analysisnon-instantaneous impulsesfractional dynamical equation

Mathematics Subject Classification ID

Controllability (93B05) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Mittag-Leffler functions and generalizations (33E12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (12)

Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation ⋮ Relative controllability analysis of fractional order differential equations with multiple time delays ⋮ Controllability results for a class of piecewise nonlinear impulsive fractional dynamic systems ⋮ Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses ⋮ NONLINEAR FRACTIONAL ORDER NEUTRAL-TYPE STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEM WITH ROSENBLATT PROCESS - A CONTROLLABILITY EXPLORATION ⋮ Robust stability and stabilization of uncertain fractional-order singularly perturbed systems ⋮ Total approximate controllability of non-instantaneous impulsive fractional differential systems involving Riemann-Liouville derivatives of order \(\beta \in (1,2)\) ⋮ New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness ⋮ Non‐instantaneous impulsive Riemann–Liouville fractional differential systems: Existence and controllability analysis ⋮ Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: an LMI approach ⋮ An explication of finite-time stability for fractional delay model with neutral impulsive conditions ⋮ Toward solving fractional differential equations via solving ordinary differential equations

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