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 - <p style="text-align: justify;">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.</p>