Q6613435
type: Item
instance of: scholarly article
title: New operational matrix of Riemann-Liouville fractional derivative of orthonormal Bernoulli polynomials for the numerical solution of some distributed-order time-fractional partial differential equations
DOI: 10.11948/20230039
author: Marzieh Pourbabaee
author: Abbas Saadatmandi
published in: Journal of Applied Analysis and Computation
publication date: 2024-10-02T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7921265
zbMATH Keywords: distributed-order
zbMATH Keywords: Riemann-Liouville derivative
zbMATH Keywords: orthonormal Bernoulli polynomials
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Rayleigh-Stokes problem
MaRDI profile type: Publication
cites work: An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
cites work: Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation
cites work: Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid
cites work: Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
cites work: Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
cites work: Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem
cites work: Finite difference/finite element methods for distributed-order time fractional diffusion equations
cites work: Numerical algorithm for solving the Stokes' first problem for a heated generalized second grade fluid with fractional derivative
cites work: Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
cites work: Numerical analysis for distributed-order differential equations
cites work: A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
cites work: Asymptotic stability of distributed order nonlinear dynamical systems
cites work: An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
cites work: The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
cites work: Some high-order difference schemes for the distributed-order differential equations
cites work: Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
cites work: An efficient method based on operational matrices of Bernoulli polynomials for solving matrix differential equations
cites work: Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method
cites work: A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation
cites work: Q3231529
cites work: Distributed-Order Dynamic Systems
cites work: Q4146094
cites work: Fractional differentiation matrices with applications
cites work: A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation
cites work: Numerical method for Stokes' first problem for a heated generalized second grade fluid with fractional derivative
cites work: Hybrid functions approach for nonlinear constrained optimal control problems
cites work: Numerical solution of distributed order fractional differential equations by hybrid functions
cites work: Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives
cites work: Numerical approximation of distributed order reaction-diffusion equations
cites work: Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
cites work: On a class of non-linear delay distributed order fractional diffusion equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: A novel Legendre operational matrix for distributed order fractional differential equations
cites work: A new operational matrix based on Müntz-Legendre polynomials for solving distributed order fractional differential equations
cites work: Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
cites work: Q3950972
cites work: The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
cites work: Numerical solution for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative
cites work: Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution
cites work: High-order numerical methods of fractional-order Stokes' first problem for heated generalized second grade fluid
cites work: Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
cites work: Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
cites work: An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid
label: New operational matrix of Riemann-Liouville fractional derivative of orthonormal Bernoulli polynomials for the numerical solution of some distributed-order time-fractional partial differential equations
description: scientific article; zbMATH DE number 7921265