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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Bibliographic Details
Main Authors: Kritika K., Purohit S.D., Jan R.
Other Authors: 59126776100
Format: Article
Published: World Scientific 2025
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Summary: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.