Approximate solutions of Legendre’s differential equation by using fractional differential transform method

Author(s)	Muhammad Amir Ashraf, Kiran Shahzadi, Mubashar Majeed, Balawal Mehmood
Country	Pakistan
Abstract	In this article, we examine the fractional order of Legendre’s equations by applying the Differential Transformation Method (DTM). This method is effective and sustainable in the investigation of Legendre’s equations. Series solution could be used to compare the Bessel and Legendre differential equations. If α = 1 then, to get the solution of fractional order of Legendre’s equation. Generalized fraction variation will use to calculate the fraction form of a special function. The results of the Legendre equation will compare with the exact solutions at α=1 and also shows that the method is quite precise and reliable.
Keywords	Legendre’s Differential equation, Fractional Differential Transform Method, Exact Solution
Field	Mathematics
Published In	Volume 6, Issue 4, July-August 2024
Published On	2024-07-07
Cite This	Approximate solutions of Legendre’s differential equation by using fractional differential transform method - Muhammad Amir Ashraf, Kiran Shahzadi, Mubashar Majeed, Balawal Mehmood - IJFMR Volume 6, Issue 4, July-August 2024. DOI 10.36948/ijfmr.2024.v06i04.24170
DOI	https://doi.org/10.36948/ijfmr.2024.v06i04.24170
Short DOI	https://doi.org/gt3xmw

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