Mellin transform and conformable fractional operator: applications

Mousa Ilie ^[1] ; Jafar Biazar ^[1] ; Zainab Ayati ^[2]
1. [1] Universidad Islámica de Azad
2. [2] Universidad de Guilan
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 76, Nº. 2, 2019, págs. 203-215
Idioma: inglés
DOI: 10.1007/s40324-018-0171-3
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Resumen
- The Mellin transform is an integral transform that can be considered as a multiplicative version of the two-sided Laplace transform. Because of its proven performance, the Mellin transform is utilized to determine particular solutions of a wide range of partial differential equations. In this article, some theorems that express of an effect the Mellin transform and conformable fractional operator are formally introduced. For this work first, some definitions and theorems about the Mellin transform and the conformable fractional derivative are presented below.