Averaging principle for non-Lipschitz proportional Itô-Doob delayed systems
In this paper, we study the existence and uniqueness of solutions of proportional Itô-Doob stochastic delay fractional integral equations (PIDSDFIE) under a non-Lipschitz condition. We investigate the convergence of the averaged PIDSDFIE to that of the standard PIDSDFIE in the mean square and probability senses.
Authors
- Abdellatif Ben Makhlouf (ORCID: https://orcid.org/0000-0001-7142-7026)
- Foued Mtiri (ORCID: https://orcid.org/0000-0003-2326-2778)
- Fatimah Alshahrani (ORCID: https://orcid.org/0000-0003-1306-7688)
- Raouf Fakhfakh (ORCID: https://orcid.org/0000-0003-2233-4899)
- Hend Aljahani (ORCID: https://orcid.org/0000-0003-3059-0454)
- Rabab Alzahrani (ORCID: https://orcid.org/0009-0005-8167-2064)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- Northern Border University (SA)
- Prince Sattam Bin Abdulaziz University (SA)
- University of Sfax (TN)
- Jouf University (SA)
- Sohar University (OM)
- King Khalid University (SA)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2026-10-14
- DOI
- https://doi.org/10.1186/s13660-026-03550-4
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Prince Sattam bin Abdulaziz University