An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation

Abstract This paper applies the Heydari–Hosseininia nonsingular fractional derivative for defining a variable-order fractional version of the Sobolev equation. The orthonormal shifted discrete Legendre polynomials, as an appropriate family of basis functions, are employed to generate an operational...

Full description

Bibliographic Details
Main Authors: M. H. Heydari, A. Atangana
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03429-2