Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations. (English) Zbl 1458.34011
Summary: The novelty of this research work is to establish stability results in Ulam-Hyers sense for the nonlinear fractional stochastic neutral differential equations system with the aid of weighted maximum norm and Itô’s isometry in finite dimensional stochastic settings.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34F05 | Ordinary differential equations and systems with randomness |
| 34A09 | Implicit ordinary differential equations, differential-algebraic equations |
| 34D10 | Perturbations of ordinary differential equations |
| 60J65 | Brownian motion |
Keywords:
Mittag-Leffler function; Caputo fractional differential operator; stochastic neutral differential equation; Ulam-Hyers stability; Itô’s isometryReferences:
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