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• W3173403097 abstract "In this paper, we are concerned with existence, uniqueness and numerical approximation of the solution process to an initial value problem for stochastic fractional differential equation of Riemann-Liouville type. We propose and analyze a Petrov-Galerkin finite element method based on fractional (non-polynomial) Jacobi polyfractonomials as basis and test functions. Error estimates in L2 norm are derived and numerical experiments are provided to validate the theoretical results. As an illustrative application, we generate sample paths of the Riemann-Liouville fractional Brownian motion which is of importance in many applications ranging from geophysics to traffic flow in telecommunication networks." @default.
• W3173403097 created "2021-07-05" @default.
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• W3173403097 date "2021-11-01" @default.
• W3173403097 modified "2023-09-30" @default.
• W3173403097 title "A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations" @default.
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• W3173403097 doi "https://doi.org/10.1016/j.apnum.2021.05.031" @default.
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