基于分数阶自然变换的alpha -函数的若干结果

Annals of Mathematics and Physics Pub Date : 2023-04-25 DOI:10.17352/amp.000078

Pathak Aarti, Mishra Rajshree, Jain Dk, Ahmad Farooq, Bhat Altaf Ahmad

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引用次数: 0

摘要

本文提出了一种新的分数阶积分变换即分数阶n变换，并利用分数阶n变换导出了分数阶微积分中一个更广义的函数(alpha -函数)的一些有用的结果。进一步给出了它与其他分数阶变换的关系，并讨论了一些特殊情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Certain results of Aleph-Function based on natural transform of fractional order

In this research article, a new type of fractional integral transform namely the N-transform of fractional order is proposed, and derived a number of useful results of a more generalized function (Aleph-function) of fractional calculus by making use of the N-transform of fractional order. Further, the relation between it and other fractional transforms is given and some special cases have also been discussed.

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Annals of Mathematics and Physics

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