Composition Formulae for the k-Fractional Calculus Operator with the S-Function

In this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the...

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Main Authors:	Hagos Tadesse, Haile Habenom, Anita Alaria, Biniyam Shimelis
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2021/7379820

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spelling	doaj-a915c4b4135e4dc485f794c134da30d92021-07-26T00:34:31ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/7379820Composition Formulae for the k-Fractional Calculus Operator with the S-FunctionHagos Tadesse0Haile Habenom1Anita Alaria2Biniyam Shimelis3Department of MathematicsDepartment of MathematicsNoida Institute of Engg. and TechnologyDepartment of MathematicsIn this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S-function, are also listed.http://dx.doi.org/10.1155/2021/7379820
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis
spellingShingle	Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis Composition Formulae for the k-Fractional Calculus Operator with the S-Function Journal of Mathematics
author_facet	Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis
author_sort	Hagos Tadesse
title	Composition Formulae for the k-Fractional Calculus Operator with the S-Function
title_short	Composition Formulae for the k-Fractional Calculus Operator with the S-Function
title_full	Composition Formulae for the k-Fractional Calculus Operator with the S-Function
title_fullStr	Composition Formulae for the k-Fractional Calculus Operator with the S-Function
title_full_unstemmed	Composition Formulae for the k-Fractional Calculus Operator with the S-Function
title_sort	composition formulae for the k-fractional calculus operator with the s-function
publisher	Hindawi Limited
series	Journal of Mathematics
issn	2314-4785
publishDate	2021-01-01
description	In this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S-function, are also listed.
url	http://dx.doi.org/10.1155/2021/7379820
work_keys_str_mv	AT hagostadesse compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT hailehabenom compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT anitaalaria compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT biniyamshimelis compositionformulaeforthekfractionalcalculusoperatorwiththesfunction
_version_	1721282458230456320

Composition Formulae for the k-Fractional Calculus Operator with the S-Function

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