A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations (Q6543647)

scientific article; zbMATH DE number 7853330

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English	A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations	scientific article; zbMATH DE number 7853330

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instance of

scholarly article

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title

A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations (English)

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24 May 2024

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zbMATH Keywords

distributed-order fractional derivatives

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Caputo derivative

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neural network

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extreme learning machine

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Numerical investigation of distributed‐order fractional optimal control problems via Bernstein wavelets

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On the formulation and numerical simulation of distributed-order fractional optimal control problems

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A Legendre collocation method for distributed-order fractional optimal control problems

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Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

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A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

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Numerical solution of distributed order fractional differential equations

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Numerical solution of distributed order fractional differential equations by hybrid functions

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Efficient modified Chebyshev differentiation matrices for fractional differential equations

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Numerical analysis for distributed-order differential equations

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On quadrature rules for solving partial differential equations using neural networks

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The fractional differential polynomial neural network for approximation of functions

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A numerical method for solving fractional differential equations by using neural network

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Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks

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A new artificial neural network structure for solving high-order linear fractional differential equations

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Study of fractional-order reaction-advection-diffusion equation using neural network method

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A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order

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A neural networks-based numerical method for the generalized Caputo-type fractional differential equations

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Solving differential equations of fractional order using an optimization technique based on training artificial neural network

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A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

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Neural network algorithm based on Legendre improved extreme learning machine for solving elliptic partial differential equations

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Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients

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Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines

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Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations

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On computing the hyperparameter of extreme learning machines: algorithm and application to computational PDEs, and comparison with classical and high-order finite elements

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Solving partial differential equation based on extreme learning machine

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Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine

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A novel numerical scheme for fractional differential equations using extreme learning machine

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SLeNN-ELM: a shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine

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Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

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An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time

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Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod

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A novel Legendre operational matrix for distributed order fractional differential equations

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A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations

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Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach

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The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications

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An operational matrix based on the independence polynomial of a complete bipartite graph for the Caputo fractional derivative

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published in

Computers & Mathematics with Applications

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Identifiers

DOI

10.1016/j.camwa.2024.04.005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6543647