Linearized asymptotic stability for fractional differential equations

DOI10.14232/ejqtde.2016.1.39zbMath1363.34004arXiv1512.04989OpenAlexW2963096193MaRDI QIDQ2820832

Nguyen Dinh Cong, Thai Son Doan, Hoang Tuan, Stefan Siegmund

Publication date: 9 September 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04989

zbMATH Keywords

fractional differential equationsLyapunov's first methodlinearized asymptotic stability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (25)

An instability theorem for nonlinear fractional differential systems ⋮ Mixed order fractional differential equations ⋮ Stability and applications of multi-order fractional systems ⋮ On stable manifolds for fractional differential equations in high-dimensional spaces ⋮ Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator ⋮ Finite-time stability of fractional-order fuzzy cellular neural networks with time delays ⋮ Long time decay analysis of complex-valued fractional abstract evolution equations with delay ⋮ Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative ⋮ Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities ⋮ Some remarks on the Gronwall integral inequality ⋮ Exploring a new discrete delayed Mittag–Leffler matrix function to investigate finite‐time stability of Riemann–Liouville fractional‐order delay difference systems ⋮ The Onset of Chaos via Asymptotically Period-Doubling Cascade in Fractional Order Lorenz System ⋮ A variation of constant formula for Caputo fractional stochastic differential equations ⋮ Stability analysis of mathematical model including pathogen-specific immune system response with fractional-order differential equations ⋮ A Hilbert Space Approach to Fractional Difference Equations ⋮ Finite-time attractivity for semilinear fractional differential equations ⋮ A novel chaotification scheme for fractional system and its application ⋮ Asymptotic stability of linear fractional systems with constant coefficients and small time-dependent perturbations ⋮ On asymptotic properties of solutions to fractional differential equations ⋮ On the novel finite-time stability results for uncertain fractional delay differential equations involving noninstantaneous impulses ⋮ Fractional Halanay inequality of order between one and two and application to neural network systems ⋮ Global attractivity for some classes of Riemann-Liouville fractional differential systems ⋮ Stability of a time fractional advection-diffusion system ⋮ Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems ⋮ Existence and Stability of the Solution to a Coupled System of Fractional-order Differential with a $p$-Laplacian Operator under Boundary Conditions

This page was built for publication: Linearized asymptotic stability for fractional differential equations