Left‐ and Right‐Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations

Haidong Qu, Xiaopeng Yang and Zihang She

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: Two new orthogonal functions named the left‐ and the right‐shifted fractional‐order Legendre polynomials (SFLPs) are proposed. Several useful formulas for the SFLPs are directly generalized from the classic Legendre polynomials. The left and right fractional differential expressions in Caputo sense of the SFLPs are derived. As an application, it is effective for solving the fractional‐order differential equations with the initial value problem by using the SFLP tau method.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2020/6036417

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6036417

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().