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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/32060/20
    Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations
    Research 2020 : July - September
    Haidong Qu, Xiaopeng Yang, Zihang She

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

    How to Cite this Article
    Attribution/ CC Compliant Citation: Qu, Haidong, Xiaopeng\nYang, and Zihang She. \"Left-and Right-Shifted Fractional\nLegendre Functions with an Application for Fractional\nDifferential Equations.\" Advances in Mathematical Physics\n2020 (2020); https://doi.org/10.1155/2020/6036417;\nhttp://creativecommons.org/licenses/by/4.0/; Some\nformatting elements, header, footer, logos, dates and\npagination were modified while adapting this article.
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