Stability of scalar nonlinear fractional differential equations with linearly dominated delay

DOI10.1515/FCA-2020-0010zbMath1441.34084arXiv1808.07974OpenAlexW3008390885MaRDI QIDQ2176144

Hoang The Tuan, Stefan Siegmund

Publication date: 4 May 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07974

zbMATH Keywords

asymptotic stabilitycharacteristic functionspecial functionsscalar nonlinear fractional differential equations with delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27) Stationary solutions of functional-differential equations (34K21)

Related Items (10)

Smallest asymptotic bound of solutions to positive mixed fractional-order inhomogeneous linear systems with time-varying delays ⋮ Numerical stability of Grünwald-Letnikov method for time fractional delay differential equations ⋮ Finite-time stability of multiterm fractional nonlinear systems with multistate time delay ⋮ Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities ⋮ New finite-time stability analysis of singular fractional differential equations with time-varying delay ⋮ An improved fractional Halanay inequality with distributed delays ⋮ Global fractional Halanay inequalities approach to finite-time stability of nonlinear fractional order delay systems ⋮ A Qualitative Theory of Time Delay Nonlinear Fractional-Order Systems ⋮ Stability analysis of fractional differential equations with the short-term memory property ⋮ Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems

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