Fuzzy Mittag-Leffler-Hyers-Ulam-Rassias Stability of Stochastic Differential Equations

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Chaharpashlou, R (Author) Other; Saadati, R (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Mathematics

Vol. 11

Final page: 2154

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00Y-B9Y

DOI: 10.3390/math11092154

Abstract (EN): Stability is the most relevant property of dynamical systems. The stability of stochastic differential equations is a challenging and still open problem. In this article, using a fuzzy Mittag-Leffler function, we introduce a new fuzzy controller function to stabilize the stochastic differential equation (SDE) nu ' (gamma, mu) = F (gamma, mu, nu(gamma, mu)). By adopting the fixed point technique, we are able to prove the fuzzy Mittag-Leffler-Hyers-Ulam-Rassias stability of the SDE.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11