Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials
type: Item
instance of: scholarly article
title: Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials
zbMATH Open document ID: 1476.35310
author: Yanyan Li
published in: Computational and Applied Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35G50
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 7394205
zbMATH Keywords: nonlinear system of fractional-order partial differential equations
zbMATH Keywords: generalized polynomials
zbMATH Keywords: operational matrix
zbMATH Keywords: optimization problem
zbMATH Keywords: control parameters
describes a project that uses: PDEFIT
MaRDI profile type: Publication
full work available at URL: s40314-020-01362-w
OpenAlex ID: W3094627112
Wikidata QID: Q115373759
cites work: Automated solution of first order factorizable systems of differential equations in one variable
cites work: Systems of delay differential equations: analysis of a model with feedback
cites work: Transcendental Bernstein series for solving reaction–diffusion equations with nonlocal boundary conditions through the optimization technique
cites work: An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
cites work: Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
cites work: The system of partial differential equations for the \(C_{0}\) function
cites work: Galerkin finite element method for cancer invasion mathematical model
cites work: Solution of the heat transfer problem in tissues during hyperthermia by finite difference-decomposition method
cites work: Applications of fractional calculus in physics
cites work: On strongly monotone solutions of a class of cyclic systems of nonlinear differential equations
cites work: Q4146094
cites work: Numerical optimal control of a size-structured PDE model for metastatic cancer treatment
cites work: Q3141902
cites work: Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
cites work: Dynamical study of two predators and one prey system with fractional Fourier transform method
cites work: Q4233638
cites work: The bivariate Müntz wavelets composite collocation method for solving space-time-fractional partial differential equations
cites work: A numerical approach for a class of time-fractional reaction-diffusion equation through exponential B-spline method
cites work: Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
cites work: Fractional-order general Lagrange scaling functions and their applications
cites work: Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
cites work: Parameter estimation in one-dimensional time-dependet partial differential equations
cites work: Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects
cites work: A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation
cites work: A spline collocation method for a fractional mobile-immobile equation with variable coefficients
cites work: Chebyshev polynomials approach for numerically solving system of two-dimensional fractional PDEs and convergence analysis
cites work: Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations
cites work: Fractional systems and optimization
DOI: 10.1007/S40314-020-01362-W
Recommended article: A New Optimization Method Based on Generalized Polynomials for Fractional Differential Equations
Recommended article: An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
Recommended article: Q3538141
Recommended article: Q4585204
Recommended article: Generalized fractional‐order Jacobi functions for solving a nonlinear systems of fractional partial differential equations numerically
Recommended article: Q4598130
Recommended article: Q5740905
Recommended article: Q3097009
Recommended article: Q3187654
Recommended article: Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE
description: scientific article; zbMATH DE number 7394205