ON THE VOLTERRA μ-FUNCTIONS AND THE M-WRIGHT FUNCTIONS AS KERNELS AND EIGENFUNCTIONS OF VOLTERRA TYPE INTEGRAL OPERATORS

被引：12

作者：

Ansari, Alireza ^{[1
]}

机构：

[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, POB 115, Shahrekord, Iran

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 02期

关键词：

integral equation; fractional order integral; Volterra function; M-Wright function; Mellin transform; AUTOCONVOLUTION EQUATIONS; CONVOLUTION EQUATIONS;

D O I：

10.1515/fca-2016-0030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we consider some classes of integral equations with the M-Wright functions as kernels. We show that the Volterra mu-functions are eigenfunctions of the introduced integral operators. We derive also some new integral identities related to the Weyl fractional integrals and derivatives of the M-Wright (Mainardi) functions.

引用

页码：567 / 572

页数：6

共 20 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

Ansari A., 2016, C R ACAD BULG UNPUB

[4]

Apelblat A, 1998, Z ANGEW MATH MECH, V78, P565, DOI 10.1002/(SICI)1521-4001(199808)78:8<565::AID-ZAMM565>3.3.CO

[5]

2-R

[6]

Apelblat A., 2010, Integral Transforms and Volterra Functions

[7]

Apelblat A, 2008, VOLTERRA FUNCTIONS, P1

[8]

Debnath L, 2006, INTEGRAL TRANSFORMS

[9]

Erdelyi A., 1953, Higher Transcendental Functions, V3

[10]

Garrappa R., 2016, ANALYSIS, V36, P89, DOI [10.1515/anly-2015-5009, DOI 10.1515/ANLY-2015-5009]

← 1 2 →