Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include constant delays, time variable delay, distrib...

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Bibliographic Details
Main Authors: Ravi Agarwal, Snezhana Hristova, Donal O'Regan
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Axioms
Subjects:
non-instantaneous impulses
Caputo fractional derivative
differential equations
state dependent delays
lipschitz stability
Online Access:http://www.mdpi.com/2075-1680/8/1/4

Internet

http://www.mdpi.com/2075-1680/8/1/4

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