Stability in delay nonlinear fractional differential equations

DOI10.1007/S12215-016-0230-5zbMath1373.34114OpenAlexW2284275664MaRDI QIDQ330572

Abdelouaheb Ardjouni, Yamina Laskri, Hamid Boulares

Publication date: 26 October 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-016-0230-5

zbMATH Keywords

stabilityfixed point theorydelay fractional differential equations

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Functional-differential equations with fractional derivatives (34K37)

Related Items (10)

Positive Solutions for First-Order Nonlinear Caputo-Hadamard Fractional Relaxation Differential Equations ⋮ Stability analysis for a class of fractional-order nonlinear systems with time-varying delays ⋮ Existence and uniqueness of positive solutions for first-order nonlinear Liouville-Caputo fractional differential equations ⋮ Unnamed Item ⋮ Approximating Solutions of Nonlinear Hybrid Caputo Fractional Integro-Differential Equations via Dhage Iteration Principle ⋮ STABILITY BY KRASNOSELSKII'S FIXED POINT THEOREM FOR NONLINEAR FRACTIONAL DYNAMIC EQUATIONS ON A TIME SCALE ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations ⋮ Qualitative properties of solution for hybrid nonlinear fractional differential equations

Cites Work

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• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Existence of fractional neutral functional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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