Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses

Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses

The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous implu...

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Bibliographic Details
Main Authors: Ramkumar Kasinathan, Ravikumar Kasinathan, Dumitru Baleanu, Anguraj Annamalai
Format: Article
Language:English
Published: AIMS Press 2021-02-01
Series:AIMS Mathematics
Subjects:
existence
non-instantaneous impulsive equation
hilfer fractional stochastic system
semigroup theory
m\ddot{o}nch fixed point theorem
Online Access:http://awstest.aimspress.com/article/doi/10.3934/math.2021265?viewType=HTML
Description
Summary:The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous impluses of order 0<β<1 and type 0≤α≤1 is derived with the help of semigroup theory and fixed point approach, namely Mo¨nch fixed point theorem. Finally, a numerical example is provided to validate the theoretical results.
ISSN:2473-6988

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