Attractive solutions for Hilfer fractional neutral stochastic integro-differential equations with almost sectorial operators

Attractive solutions for Hilfer fractional neutral stochastic integro-differential equations with almost sectorial operators

This paper studies the integro-differential equations of Hilfer fractional (HF) neutral stochastic evolution on an infinite interval with almost sectorial operators and their attractive solutions. We use semigroup theory, stochastic analysis, compactness methods, and the measure of noncompactness (M...

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Bibliographic Details
Main Authors: Sivajiganesan Sivasankar, Ramalingam Udhayakumar, Abd Elmotaleb A.M.A. Elamin, R. Samidurai, Sina Etemad, Muath Awadalla
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
hilfer fractional derivative
stochastic evolution equations
neutral systems
infinite interval
attractivity
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024564?viewType=HTML
Description
Summary:This paper studies the integro-differential equations of Hilfer fractional (HF) neutral stochastic evolution on an infinite interval with almost sectorial operators and their attractive solutions. We use semigroup theory, stochastic analysis, compactness methods, and the measure of noncompactness (MNC) as the foundation for our methodologies. We establish the existence and attractivity theorems for mild solutions by considering the fact that the almost sectorial operator is both compact and noncompact. Example that highlight the key findings are also provided.
ISSN:2473-6988

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