Analytical and Computational Investigations of Stochastic Functional Integral Equations: Solution Existence and Euler–Karhunen–Loève Simulation

Analytical and Computational Investigations of Stochastic Functional Integral Equations: Solution Existence and Euler–Karhunen–Loève Simulation

This paper presents a comprehensive investigation into the solution existence of stochastic functional integral equations within real separable Banach spaces, emphasizing the establishment of sufficient conditions. Leveraging advanced mathematical tools including probability measures of noncompactne...

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Bibliographic Details
Main Authors: Manochehr Kazemi, AliReza Yaghoobnia, Behrouz Parsa Moghaddam, Alexandra Galhano
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
stochastic functional integral equations
solution existence
Banach space
probability measures of noncompactness
Petryshyn’s fixed-point theorem
Karhunen–Loève expansion
Online Access:https://www.mdpi.com/2227-7390/13/3/427
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