A neural computational intelligence method based on Legendre polynomials for fuzzy fractional order differential equation

DOI10.1515/JAMSI-2016-0009OpenAlexW2570441464WikidataQ57600141 ScholiaQ57600141MaRDI QIDQ1670330

Peng Zhang

Publication date: 5 September 2018

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jamsi-2016-0009

zbMATH Keywords

neural networksimulated annealingfuzzyLegendre polynomials

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Neural nets and related approaches to inference from stochastic processes (62M45) Fuzzy ordinary differential equations (34A07)

Related Items (2)

A single layer functional link artificial neural network based on Chebyshev polynomials for neural evaluations of nonlinear \(n\)th order fuzzy differential equations ⋮ Systems of implicit fractional fuzzy differential equations with nonlocal conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving fuzzy fractional differential equations by fuzzy Laplace transforms
• Nonlinear dynamics of fractional order Duffing system
• Numerical solution of fuzzy differential equations by Nyström method
• Fuzzy fractional order sliding mode controller for nonlinear systems
• Solving second-order fuzzy differential equations by the fuzzy Laplace transform method
• Numerical solution for high order differential equations using a hybrid neural network-optimization method
• Numerical solution of fuzzy differential equations by predictor-corrector method
• Fuzzy fractional functional differential equations under Caputo gH-differentiability
• The numerical solution of linear ordinary differential equations by feedforward neural networks
• Solution of nonlinear ordinary differential equations by feedforward neural networks
• Fuzzy fractional functional integral and differential equations
• A new approach to fuzzy initial value problem by improved Euler method
• An operational matrix based on Legendre polynomials for solving fuzzy fractional-order differential equations
• Analytical and numerical solutions of fuzzy differential equations
• Fuzzy Adaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems
• Operations on fuzzy numbers

This page was built for publication: A neural computational intelligence method based on Legendre polynomials for fuzzy fractional order differential equation