Work

Fractional stochastic functional differential equations with non-Lipschitz condition

Year: 2025

Type: article

Abstract: This article investigates fractional stochastic functional differential equations (FSFDEs) with a non-Lipschitz condition. The analysis explores the boundedness of solutions. Within this framework, results on the existence and uniqueness of solutions are presented. Furthermore, we derive error estimates between the Picard approximate solutions $ y^n(t), \, \, n\geq 1 $, and the exact solution $ y(t) $. Finally, it is demonstrated that the solutions exhibit mean square stability. To illustrate the applicability of the proposed theory, a detailed example is presented.

Source: AIMS Mathematics

DOI: 10.3934/math.2025325

Authors: Rahman Ullah, Muhammad Farooq, Faiz Faizullah, Maryam A Alghafli, Nabil Mlaiki

Institutions: Hubei Polytechnic University, National University of Sciences and Technology, Prince Sultan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Prince Sultan University