Family of Yang-Yu W-functions associated with fractional kinetic equations

The objective of this work is to derive a generalized fractional kinetic equation in terms of a new generalized hypergeometirc function: Yang-Yu W-function. Recently, a number of researchers have worked to develop solutions of generalized fractional kinetic equations in terms of Mittag-Leffler funct...

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Main Authors: Kritika K., Purohit S.D., Jan R.
Other Authors: 59126776100
Format: Article
Published: World Scientific 2025
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spelling my.uniten.dspace-369212025-03-03T15:45:47Z Family of Yang-Yu W-functions associated with fractional kinetic equations Kritika K. Purohit S.D. Jan R. 59126776100 36722038700 57205596279 The objective of this work is to derive a generalized fractional kinetic equation in terms of a new generalized hypergeometirc function: Yang-Yu W-function. Recently, a number of researchers have worked to develop solutions of generalized fractional kinetic equations in terms of Mittag-Leffler functions. Here, we developed the solution of fractional kinetic equation with the help of Laplace transform in terms of the Yang-Yu W-function and the incomplete function family of it. Subsequently, we showcase some intriguing results of the main findings by specializing the Yang-Yu W-function and incomplete W-functions parameters into more straightforward special functions. ? 2025 World Scientific Publishing Company. Article in press 2025-03-03T07:45:47Z 2025-03-03T07:45:47Z 2024 Article 10.1142/S021988782540002X 2-s2.0-85214404869 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85214404869&doi=10.1142%2fS021988782540002X&partnerID=40&md5=3e186e0f4633042503cedade6a02f85e https://irepository.uniten.edu.my/handle/123456789/36921 2540002 World Scientific Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description The objective of this work is to derive a generalized fractional kinetic equation in terms of a new generalized hypergeometirc function: Yang-Yu W-function. Recently, a number of researchers have worked to develop solutions of generalized fractional kinetic equations in terms of Mittag-Leffler functions. Here, we developed the solution of fractional kinetic equation with the help of Laplace transform in terms of the Yang-Yu W-function and the incomplete function family of it. Subsequently, we showcase some intriguing results of the main findings by specializing the Yang-Yu W-function and incomplete W-functions parameters into more straightforward special functions. ? 2025 World Scientific Publishing Company.
author2 59126776100
author_facet 59126776100
Kritika K.
Purohit S.D.
Jan R.
format Article
author Kritika K.
Purohit S.D.
Jan R.
spellingShingle Kritika K.
Purohit S.D.
Jan R.
Family of Yang-Yu W-functions associated with fractional kinetic equations
author_sort Kritika K.
title Family of Yang-Yu W-functions associated with fractional kinetic equations
title_short Family of Yang-Yu W-functions associated with fractional kinetic equations
title_full Family of Yang-Yu W-functions associated with fractional kinetic equations
title_fullStr Family of Yang-Yu W-functions associated with fractional kinetic equations
title_full_unstemmed Family of Yang-Yu W-functions associated with fractional kinetic equations
title_sort family of yang-yu w-functions associated with fractional kinetic equations
publisher World Scientific
publishDate 2025
_version_ 1825816288593707008
score 13.244413