Some Results for a Class of Pantograph Integro-Fractional Stochastic Differential Equations
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.
Authors
- Fatimah Alshahrani (ORCID: https://orcid.org/0000-0003-1306-7688)
- Sahar Mohammad Abusalim
- Raouf Fakhfakh (ORCID: https://orcid.org/0000-0003-2233-4899)
- Abdellatif Ben Makhlouf (ORCID: https://orcid.org/0009-0000-2719-5985)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- University of Sfax (TN)
- Jouf University (SA)
Publication Details
- Journal
- Symmetry
- Published
- 2024-10-14
- DOI
- https://doi.org/10.3390/sym16101362
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Princess Nourah Bint Abdulrahman University