Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay

DOI10.1515/gmj-2020-2061zbMath1476.34158OpenAlexW3030408301MaRDI QIDQ2048235

Donal O'Regan, Ravi P. Agarwal, Snezhana G. Hristova

Publication date: 5 August 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2061

zbMATH Keywords

existencenon-instantaneous impulsesUlam type stabilityCaputo fractional differential equationsstate dependent delays

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27) Functional-differential equations with state-dependent arguments (34K43)

Related Items (1)

Stability of non-instantaneous impulsive systems in Hilbert spaces

Cites Work

• Unnamed Item
• On the Hyers-Ulam stability of first-order impulsive delay differential equations
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• Stability results for partial fractional differential equations with noninstantaneous impulses
• Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
• Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses
• Non-instantaneous impulses in Caputo fractional differential equations
• Ulam-Hyers stability of fractional impulsive differential equations
• Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses

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