A study on the mild solution of special random impulsive fractional differential equations

In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to il...

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Bibliographic Details
Published in:Mathematics in applied sciences and engineering 2022-12, Vol.3 (4), p.200-218
Main Authors: Sayooj Aby Jose, Varun Bose C. S., Bijesh P. Biju, Thomas, Abin
Format: Article
Language:English
Subjects:
existence
exponential stability
fractional differential equation
leray-schauder alternative fixed point
random impulses
Online Access:Get full text
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Summary:In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to illustrate the effectiveness of the theoretical results.
ISSN:2563-1926
2563-1926
DOI:10.5206/mase/14985