On the Volterra μ-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators-Reference-Cited by-同舟云学术

On the Volterra μ-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators

Published:2016-04-01 Issue:2 Volume:19 Page:567-572
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ansari Alireza¹

Affiliation:

1. Dept. of Applied Mathematics, Fac. of Mathematical Sciences Shahrekord University P.O. Box 115, Shahrekord, IRAN

Abstract

Abstract In this note we consider some classes of integral equations with the M-Wright functions as kernels. We show that the Volterra μ−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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0030/pdf

Reference19 articles.

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3. A. Apelblat, Integral Transforms and Volterra Functions. Nova Science Publishers, New York (2010).

4. A. Apelblat, Volterra Functions. Nova Science Publishers, New York (2008).

5. L. Debnath, D. Bhatta, Integral Transforms and Their Applications, Second ed., Chapman and Hall, New York (2006).

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