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.

引用

页码：181 / 211

页数：30

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