Work

Some Results for a Class of Pantograph Integro-Fractional Stochastic Differential Equations

Year: 2024

Type: article

Abstract: Symmetrical fractional differential equations have been explored through a variety of methods in recent years. In this paper, we analyze the existence and uniqueness of a class of pantograph integro-fractional stochastic differential equations (PIFSDEs) using the Banach fixed-point theorem (BFPT). Also, Gronwall inequality is used to demonstrate the Ulam–Hyers stability (UHS) of PIFSDEs. The results are illustrated by two examples.

Source: Symmetry

DOI: 10.3390/sym16101362

Authors: Sahar Mohammad Abusalim, Raouf Fakhfakh, Fatimah Alshahrani, Abdellatif Ben Makhlouf

Institutions: Jouf University, Princess Nourah bint Abdulrahman University, 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: $2,728

Funder: Princess Nourah Bint Abdulrahman University