The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function

In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponentia...

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Main Authors: S. Chandak, Biniyam Shimelis, Nigussie Abeye, A. Padma
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/9961013
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spelling doaj-0cd4d299b9094548835b1ef5acd640d22021-08-23T01:33:37ZengHindawi LimitedAbstract and Applied Analysis1687-04092021-01-01202110.1155/2021/9961013The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-FunctionS. Chandak0Biniyam Shimelis1Nigussie Abeye2A. Padma3Science and Humanities departmentDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.http://dx.doi.org/10.1155/2021/9961013
collection DOAJ
language English
format Article
sources DOAJ
author S. Chandak
Biniyam Shimelis
Nigussie Abeye
A. Padma
spellingShingle S. Chandak
Biniyam Shimelis
Nigussie Abeye
A. Padma
The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
Abstract and Applied Analysis
author_facet S. Chandak
Biniyam Shimelis
Nigussie Abeye
A. Padma
author_sort S. Chandak
title The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
title_short The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
title_full The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
title_fullStr The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
title_full_unstemmed The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
title_sort marichev-saigo-maeda fractional calculus operators pertaining to the v-function
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1687-0409
publishDate 2021-01-01
description In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.
url http://dx.doi.org/10.1155/2021/9961013
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