Mellin transform and conformable fractional operator: applications

被引：0
作者：
Ilie M. [1 ,2 ]
Biazar J. [2 ,3 ]
Ayati Z. [4 ]
机构：
[1] Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht
[2] Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht
[3] Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht, Gilan
[4] Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah
来源：
SeMA Journal | 2019年 / 76卷 / 2期
关键词：
Conformable fractional operator; Heat equation; Mellin transform; New theorems; Wave equation;
D O I：
10.1007/s40324-018-0171-3
中图分类号：
学科分类号：
摘要：
A wide range of fractional differential equations in applied sciences can be solved by integral transformations. In the present work, first some new theorems related to the Mellin transform and the conformable fractional operator are established, and then a few conformable fractional equations such as wave and heat equations are solved through the use of results generated. © 2018, Sociedad Española de Matemática Aplicada.
引用
收藏
页码：203 / 215
页数：12
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