Mixed Neutral Caputo Fractional Stochastic Evolution Equations with Infinite Delay: Existence, Uniqueness and Averaging Principle

Mixed Neutral Caputo Fractional Stochastic Evolution Equations with Infinite Delay: Existence, Uniqueness and Averaging Principle

The aim of this article is to consider a class of neutral Caputo fractional stochastic evolution equations with infinite delay (INFSEEs) driven by fractional Brownian motion (fBm) and Poisson jumps in Hilbert space. First, we establish the local and global existence and uniqueness theorems of mild s...

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Bibliographic Details
Main Authors: Mahmoud Abouagwa, Lama S. Aljoufi, Rashad A. R. Bantan, Anas D. Khalaf, Mohammed Elgarhy
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Fractal and Fractional
Subjects:
fractional neutral system
successive approximations
fractional Brownian motion
Poisson jumps
fractional calculus
averaging principle
Online Access:https://www.mdpi.com/2504-3110/6/2/105

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