Abstract
Under the effect of the Rosenblatt process, time-delay systems of nonlinear stochastic delay differential equations are considered. Utilizing the delayed matrix functions and exact solutions for these systems, the existence and Hyers–Ulam stability results are derived. First, depending on the fixed point theory, the existence and uniqueness of solutions are proven. Next, sufficient criteria for the Hyers–Ulam stability are established. Ultimately, to illustrate the importance of the results, an example is provided.
| Original language | English |
|---|---|
| Article number | 1729 |
| Journal | Mathematics |
| Volume | 12 |
| Issue number | 11 |
| DOIs | |
| State | Published - Jun 2024 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2024 by the authors.
Keywords
- Hyers–Ulam stability
- Krasnoselskii’s fixed point theorem
- Rosenblatt process
- delayed matrix function
- stochastic delay system
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- General Mathematics
- Engineering (miscellaneous)
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