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.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
11