The existence and exponential stability of random impulsive fractional differential equations

The existence and exponential stability of random impulsive fractional differential equations

Abstract In this paper, the existence and exponential stability of mild solutions of random impulsive fractional differential equations are studied. The results are obtained by using the Leray–Schauder alternative fixed point theorem.

Bibliographic Details
Main Authors: Suping Zhang, Wei Jiang
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Random impulse
Fractional differential equations
Exponential stability
Leray–Schauder alternative fixed point
Online Access:http://link.springer.com/article/10.1186/s13662-018-1779-4
Description
Summary:Abstract In this paper, the existence and exponential stability of mild solutions of random impulsive fractional differential equations are studied. The results are obtained by using the Leray–Schauder alternative fixed point theorem.
ISSN:1687-1847

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