Existence and \(\beta\)-Ulam-Hyers stability for a class of fractional differential equations with non-instantaneous impulses

DOI10.1186/s13662-015-0415-9zbMath1348.34030OpenAlexW2130039813WikidataQ59435619 ScholiaQ59435619MaRDI QIDQ738760

Xiulan Yu

Publication date: 5 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0415-9

zbMATH Keywords

existencefractional differential equationsnon-instantaneous impulses\(\beta\)-Ulam-Hyers stability

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Fractional ordinary differential equations (34A08)

Related Items (11)

Non-instantaneous impulses in Caputo fractional differential equations ⋮ Existence and Ulam-Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator ⋮ Existence and finite-time stability of solutions for a class of nonlinear fractional differential equations with time-varying delays and non-instantaneous impulses ⋮ Stability of a nonlinear fractional Langevin system with nonsingular exponential kernel and delay control ⋮ On a New Class of Impulsive η-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations ⋮ Generalized UH-stability of a nonlinear fractional coupling \((p_1,p_2)\)-Laplacian system concerned with nonsingular Atangana-Baleanu fractional calculus ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonlinear fractional boundary value problem with not instantaneous impulse ⋮ Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions ⋮ Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions

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