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

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...

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Bibliographic Details
Main Authors: Haidong Qu, Xiaopeng Yang, Zihang She
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/6036417
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