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Volume 9, Issue 3
Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

Haidong Qu

DOI: 10.4208/aamm.2015.m909

Adv. Appl. Math. Mech., 9 (2017), pp. 667-679.

Published online: 2018-05

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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 equation, fractional Langevin equation, numerical solution, radial basis function neural network.

  • AMS Subject Headings

26A33, 60G22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-667, author = {Qu , Haidong}, title = {Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m909}, url = {http://global-sci.org/intro/article_detail/aamm/12169.html} }
TY - JOUR T1 - Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations AU - Qu , Haidong JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 667 EP - 679 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m909 UR - https://global-sci.org/intro/article_detail/aamm/12169.html KW - Fractional Riccati equation, fractional Langevin equation, numerical solution, radial basis function neural network. AB -

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.

Qu , Haidong. (2018). Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations. Advances in Applied Mathematics and Mechanics. 9 (3). 667-679. doi:10.4208/aamm.2015.m909
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