Fractional Mellin Transform for Standard Functions
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 6 Issue 1, January 2017 | Popularity: 6.2 / 10


     

Fractional Mellin Transform for Standard Functions

Vijaya Patil, Narhari Patil


Abstract: Mellin transform is one of the members of an Integral transform. It is widely used in computer science for the analysis of algorithms of its scale invariance property. In mathematics, it may be regarded as the multiplicative version of the two-sided Laplace transform. In this paper we discuss the fractional Mellin transform with some basic properties. Also we prove fractional Mellin transform for Some Standard Functions. To illustrate the advantages and use of this transformation, example of differential equation has been solved at the end.


Keywords: Mellin transform, Laplace transform, Fractional Mellin Transform, Eulers Cauchy Differential equation


Edition: Volume 6 Issue 1, January 2017


Pages: 1437 - 1439


DOI: https://www.doi.org/10.21275/ART20164396



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Vijaya Patil, Narhari Patil, "Fractional Mellin Transform for Standard Functions", International Journal of Science and Research (IJSR), Volume 6 Issue 1, January 2017, pp. 1437-1439, https://www.ijsr.net/getabstract.php?paperid=ART20164396, DOI: https://www.doi.org/10.21275/ART20164396

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