Work

Ulam–Hyers Stability of Pantograph Hadamard Functional Fractional Stochastic Differential Equations

Year: 2025

Type: article

Abstract: ABSTRACT In this article, we investigate a specific class of pantograph Hadamard functional fractional stochastic differential equations (FSDEs), which incorporate both proportional time delays and fractional derivatives. By leveraging Schauder's fixed point theorem and the contraction mapping principle, we establish the existence and uniqueness of solutions to the proposed system. Additionally, we explore the Ulam–Hyers stability (U‐H stability) of the system by applying the generalized Gr nwall inequality. To highlight the theoretical results, we provide some illustrative examples that demonstrates the practical implications of the established findings.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10941

Authors: Jun Li, Pusen Tang, Feng Liao, Lin Chen

Institutions: Suzhou University of Technology, Guizhou University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G7675199131