The existence and exponential stability of random impulsive fractional differential equations

DOI10.1186/S13662-018-1779-4zbMath1448.34030OpenAlexW2898867637WikidataQ115518777 ScholiaQ115518777MaRDI QIDQ1715488

Suping Zhang, Wei Jiang

Publication date: 4 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1779-4

zbMATH Keywords

exponential stabilityfractional differential equationsrandom impulseLeray-Schauder alternative fixed point

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Ordinary differential equations and systems with randomness (34F05) Fractional ordinary differential equations (34A08)

Related Items (4)

The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems ⋮ The existence of upper and lower solutions to second order random impulsive differential equation with boundary value problem ⋮ P-moment exponential stability of second order differential equations with exponentially distributed moments of impulses ⋮ On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps

Cites Work

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• Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay
• Existence of mild solutions for fractional neutral evolution equations
• P-moment exponential stability of Caputo fractional differential equations with noninstantaneous random impulses
• Boundedness of nonlinear differential systems with impulsive effect on random moments
• Stability results of random impulsive semilinear differential equations

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