Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations
Joint Authors
Qu, Haidong
Yang, Xiaopeng
She, Zihang
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Qu, Haidong& Yang, Xiaopeng& She, Zihang. 2020. Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127442
Modern Language Association (MLA)
Qu, Haidong…[et al.]. Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations. Advances in Mathematical Physics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1127442
American Medical Association (AMA)
Qu, Haidong& Yang, Xiaopeng& She, Zihang. Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1127442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127442