Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy Numbers
On the fuzzy initial value problem
Fuzzy Sets and Systems - Fuzzy Numbers
Multilayer feedforward networks are universal approximators
Neural Networks
Foundations of neural networks
Foundations of neural networks
Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations
Neural algorithm for solving differential equations
Journal of Computational Physics
Embedding problem of fuzzy number space: Part I
Fuzzy Sets and Systems
A learning algorithm of fuzzy neural networks with triangular fuzzy weights
Fuzzy Sets and Systems - Special issue on fuzzy neural control
Neural network design
Numerical solutions of fuzzy differential equations
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Numerical analysis of the learning of fuzzified neural networks from fuzzy if—then rules
Fuzzy Sets and Systems - Special issue on clustering and learning
Neural Networks
Novel determination of differential-equation solutions: universal approximation method
Journal of Computational and Applied Mathematics
Numerical solution of fuzzy differential equations by predictor-corrector method
Information Sciences: an International Journal
First order linear fuzzy differential equations under generalized differentiability
Information Sciences: an International Journal
Fuzzy differential equations and the extension principle
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
Nth-order fuzzy linear differential equations
Information Sciences: an International Journal
Comparison results for fuzzy differential equations
Information Sciences: an International Journal
On fuzzy boundary value problems
Information Sciences: an International Journal
Numerical solution of a system of fuzzy polynomials by fuzzy neural network
Information Sciences: an International Journal
Is there a need for fuzzy logic?
Information Sciences: an International Journal
Numerical methods forfuzzy differential inclusions
Computers & Mathematics with Applications
Towards fuzzy differential calculus part 3: Differentiation
Fuzzy Sets and Systems
The numerical solution of linear ordinary differential equations by feedforward neural networks
Mathematical and Computer Modelling: An International Journal
Solution of nonlinear ordinary differential equations by feedforward neural networks
Mathematical and Computer Modelling: An International Journal
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In this paper, a novel hybrid method based on learning algorithm of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large field called neural computing or soft computing. The model finds the approximated solution of fuzzy differential equation inside of its domain for the close enough neighborhood of the fuzzy initial point. We propose a learning algorithm from the cost function for adjusting of fuzzy weights. Finally, we illustrate our approach by numerical examples and an application example in engineering.