A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials

DOI10.1007/s40324-018-0173-1zbMath1425.34087OpenAlexW2889078787WikidataQ115372953 ScholiaQ115372953MaRDI QIDQ2321020

Reza Dehghan

Publication date: 28 August 2019

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-018-0173-1

zbMATH Keywords

functional differential equationshifted Legendre polynomialsvariable order fractional differential equationsvariable order fractional derivative

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Theoretical approximation of solutions to functional-differential equations (34K07) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items

A numerical scheme based on the Chebyshev functions to find approximate solutions of the coupled nonlinear sine-Gordon equations with fractional variable orders, A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
• A numerical solution for variable order fractional functional differential equation
• Numerical algorithm for the variable-order Caputo fractional functional differential equation
• Numerical techniques for the variable-order time fractional diffusion equation
• Variable-order fractional derivatives and their numerical approximations
• A new operational matrix for solving fractional-order differential equations
• Numerical scheme and dynamic analysis for variable-order fractional van der Pol model of nonlinear economic cycle
• Numerical solutions of a variable-order fractional financial system
• A numerical technique for variable fractional functional boundary value problems
• A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
• Numerical solution of the one-dimensional wave equation with an integral condition
• Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method
• Hartley series approximations for the parabolic equations