Numerical solution of hybrid fuzzy differential equations by fuzzy neural network

Document Type : Research Paper


Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran.


The hybrid fuzzy differential equations have a wide range of applications in science and engineering. We consider the problem of nding their numerical solutions by using a novel hybrid method based on fuzzy neural network. Here neural network is considered as a part of large eld called neural computing or soft computing. The proposed algorithm is illustrated by numerical examples and the results obtained using the scheme presented here agree well with the analytical solutions.