Fractional Chebyshev kernel functions: theory and application
type: Item
instance of: scholarly article
title: Fractional Chebyshev kernel functions: theory and application
zbMATH Open document ID: 1548.68196
DOI: 10.1007/978-981-19-6553-1_3
author: Amir Hosein Hadian Rasanan
author: Sherwin Nedaei Janbesaraei
author: D. Baleanu
publication date: 2024-09-16T00:00:00Z
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 7914319
zbMATH Keywords: Chebyshev polynomial
zbMATH Keywords: fractional Chebyshev functions
zbMATH Keywords: kernel trick
zbMATH Keywords: orthogonal functions
zbMATH Keywords: Mercer's theorem
MaRDI profile type: Publication
cites work: Chebyshev and Fourier spectral methods.
cites work: A New Approach for American Option Pricing: The Dynamic Chebyshev Method
cites work: Fractional Chebyshev pseudospectral method for fractional optimal control problems
cites work: Brain Activity Reconstruction by Finding a Source Parameter in an Inverse Problem
cites work: Fractional Chebyshev deep neural network (FCDNN) for solving differential models
cites work: Generalized shifted Chebyshev polynomials for fractional optimal control problems
cites work: Fractional-order Legendre functions for solving fractional-order differential equations
cites work: Q4604886
cites work: Fractional Chebyshev functional link neural network‐optimization method for solving delay fractional optimal control problems with Atangana‐Baleanu derivative
cites work: Q5275283
cites work: The impact of the Chebyshev collocation method on solutions of the time-fractional Black-Scholes
cites work: New Hermite orthogonal polynomial kernel and combined kernels in support vector machine classifier
cites work: A set of new Chebyshev kernel functions for support vector machine pattern classification
cites work: Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
cites work: Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions
cites work: Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
cites work: Spectral Methods
cites work: A center sliding Bayesian binary classifier adopting orthogonal polynomials
cites work: An adaptive support vector regression based on a new sequence of unified orthogonal polynomials
cites work: Chebyshev polynomials approach for numerically solving system of two-dimensional fractional PDEs and convergence analysis
description: scientific article; zbMATH DE number 7914319