A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order
type: Item
instance of: scholarly article
title: A new efficient algorithm based on feedforward neural network for solving differential equations of fractional order
author: Mohd Rashid Admon
author: N. Senu
author: A. Ahmadian
author: Zanariah Abdul Majid
author: S. Salahshour
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-12-20T00:00:00Z
Mathematics Subject Classification ID: 65Lxx
Mathematics Subject Classification ID: 34Axx
Mathematics Subject Classification ID: 26Axx
zbMATH DE Number: 7634596
zbMATH Keywords: artificial neural network
zbMATH Keywords: feedforward neural network
zbMATH Keywords: vectorized algorithm
zbMATH Keywords: automatic differentiation
zbMATH Keywords: first-order optimization techniques
describes a project that uses: DiffSharp
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106968
OpenAlex ID: W4307211009
Wikidata QID: Q115358516
cites work: The development of fractional calculus 1695-1900
cites work: Q4250595
cites work: The role of fractional calculus in modeling biological phenomena: a review
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: A review of applications of fractional calculus in Earth system dynamics
cites work: Noise detection and image denoising based on fractional calculus
cites work: The fractional diffusion equation
cites work: Q5699297
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
cites work: A new predictor-corrector method for fractional differential equations
cites work: An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative
cites work: A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations
cites work: Q5275283
cites work: An introduction to neural network methods for differential equations
cites work: Solving differential equations of fractional order using an optimization technique based on training artificial neural network
cites work: A new stochastic approach for solution of Riccati differential equation of fractional order
cites work: Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
cites work: Fractional Chebyshev deep neural network (FCDNN) for solving differential models
cites work: Q4626278
cites work: A Graduate Introduction to Numerical Methods
cites work: Q4558473
cites work: Approximations of fractional integrals and Caputo fractional derivatives
cites work: Deep Learning Architectures
cites work: Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
cites work: Numerical Optimization
cites work: On artificial neural networks approach with new cost functions
cites work: A new artificial neural network structure for solving high-order linear fractional differential equations
cites work: Q5270493
cites work: Numerical solution of fractional differential equations using Haar wavelet operational matrix method
cites work: A numerical method for solving fractional differential equations by using neural network
cites work: Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley-Torvik equation
DOI: 10.1016/J.CNSNS.2022.106968
description: scientific article; zbMATH DE number 7634596