Abstract
Applicability of undetermined coefficients methods to several fractional-stochastic models is investigated. These models are mostly generated by fractional-order derivative operators and include a fractional white noise term. Application of a polynomial chaos algorithm to stochastic Lotka-Volterra and Benney systems are also investigated. Fractional-stochastic equations considered in this paper are totally original systems which may serve as models for many scientific and engineering phenomena. It is pointed out that Galerkin type methods employed in this paper may be efficiently applied to fractional-order systems having uncertainty or a noise term.
Keywords
Polynomial chaos
Fractional calculus
Applied mathematics
White noise
Galerkin method
Noise (video)
Mathematics
Polynomial
Term (time)
Order (exchange)
Mathematical optimization
Computer science
Nonlinear system
Mathematical analysis
Monte Carlo method
Physics
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Advanced Control Systems Design
·Control and Systems Engineering ·Physical Sciences
Chaos control and synchronization
·Statistical and Nonlinear Physics ·Physical Sciences