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