Work

Some Existence, Uniqueness, and Stability Results for a Class of ϑ-Fractional Stochastic Integral Equations

Year: 2024

Type: article

Abstract: This paper focuses on the existence and uniqueness of solutions for ϑ-fractional stochastic integral equations (ϑ-FSIEs) using the Banach fixed point theorem (BFPT). We explore the Ulam–Hyers stability (UHS) of ϑ-FSIEs through traditional methods of stochastic calculus and the BFPT. Moreover, the continuous dependence of solutions on initial conditions is proven. Additionally, we provide three examples to demonstrate our findings.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9010007

Authors: Fahad Alsharari, Raouf Fakhfakh, Omar Kahouli, Abdellatif Ben Makhlouf

Institutions: Jouf University, University of Ha'il, University of Sfax, Faculty of Sciences of Sfax

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4405833974

FWCI: 1.53

Cites: 22

Cited by: 2

Related to: 10