Attractive solutions for Hilfer fractional neutral stochastic integro-differential equations with almost sectorial operators-Reference-Cited by-同舟云学术

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

Published:2024 Issue:5 Volume:9 Page:11486-11510
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sivasankar Sivajiganesan¹,Udhayakumar Ramalingam¹,Elamin Abd Elmotaleb A.M.A.²,Samidurai R.³,Etemad Sina⁴⁵,Awadalla Muath⁶

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

2. Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia

3. Department of Mathematics, Thiruvalluvar University, Serkkadu, Vellore 632115, Tamil Nadu, India

4. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

5. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, Iraq

6. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf, Al Ahsa 31982, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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