Title of article :
An efficient approach based on radial basis functions for solving stochastic fractional differential equations
Author/Authors :
Ahmadi, N. Department of Mathematics - Science and Research Branch - Islamic Azad University, Tehran, Iran , Allahviranloo, T. Department of Mathematics - Science and Research Branch - Islamic Azad University, Tehran, Iran , R. Vahidi, A. Department of Mathematics - Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch - Islamic Azad University, Tehran, Iran
Pages :
6
From page :
113
To page :
118
Abstract :
In this paper, we present a collocation method based on Gaussian Radial Basis Functions (RBFs) for approximating the solution of stochastic fractional differential equations (SFDEs). In this equation the fractional derivative is considered in the Caputo sense. Also we prove the existence and uniqueness of the presented method. Numerical examples confirm the proficiency of the method.
Keywords :
Stochastic fractional differential equations , Radial basis functions
Journal title :
Mathematical Sciences
Serial Year :
2017
Record number :
2509167
Link To Document :
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