SOME RESULTS ON PROPORTIONAL PANTOGRAPH FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS
This paper presents the existence, uniqueness, and stability results of proportional pantograph fractional stochastic differential equations (PPFSDEs) based on some mathematical inequalities, the Itô’s isometry formula and the Banach fixed point theorem (BFPT). Two examples are provided to illustrate the obtained theoretical results.
Authors
- Sahar Mohammad A. Abusalim
- Fatimah Alshahrani (ORCID: https://orcid.org/0000-0003-1306-7688)
- Raouf Fakhfakh (ORCID: https://orcid.org/0000-0003-2233-4899)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- Jouf University (SA)
Publication Details
- Journal
- Fractals
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1142/s0218348x25401632
- Citations
- 1
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.73