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

Haidong Qu

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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