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Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations
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Year:    2017

Author:    Haidong Qu

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 667–679

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m909

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 667–679

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Fractional Riccati equation fractional Langevin equation numerical solution radial basis function neural network.

Author Details

Haidong Qu

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