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Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

Part of: Real functions Stochastic processes

Published online by Cambridge University Press:  17 January 2017

Haidong Qu
Haidong Qu*
Affiliation:
Department of Mathematics, Hanshan Normal University, Chaozhou, Guangdong 521041, China
*
*Corresponding author. Email:qhaidong@163.com (H. D. Qu)
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Abstract

In this paper, we first apply cosine radial basis function neural networks to solve the fractional differential equations with initial value problems or boundary value problems. In the examples, we successfully obtained the numerical solutions for the fractional Riccati equations and fractional Langevin equations. The computer graphics and numerical solutions show that this method is very effective.

Keywords

Fractional Riccati equationfractional Langevin equationnumerical solutionradial basis function neural network

MSC classification

Secondary: 26A33: Fractional derivatives and integrals 60G22: Fractional processes, including fractional Brownian motion
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 667 - 679
Copyright
Copyright © Global-Science Press 2017 

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