A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators

被引：0
作者：
Prasad A. [1 ]
Maurya P.K. [1 ]
机构：
[1] Department of Applied Mathematics, Indian School of Mines, Dhanbad
来源：
SeMA Journal | 2017年 / 74卷 / 2期
关键词：
Fractional Hankel-type integral transformation; Pseudo-differential operator; Zemanian type space;
D O I：
10.1007/s40324-016-0087-8
中图分类号：
学科分类号：
摘要：
A couple of fractional powers of Hankel-type integral transformations are discussed on certain Zemainan type spaces. The operational formulae are developed. Two variants of fractional pseudo-differential operators (FrPDO) associated with the symbol a(x, y) are defined. Integral representation of FrPDO are obtained. The fractional powers of Hankel-type integral transformations are used in the solution of some partial differential equations. © 2016, Sociedad Española de Matemática Aplicada.
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页码：181 / 211
页数：30
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