NOTE ON A k-GENERALISED FRACTIONAL DERIVATIVE

EKTA MITTAL; SUNIL JOSHI

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NOTE ON A k-GENERALISED FRACTIONAL DERIVATIVE

机译：关于K-Generalized Fractional Drivation的说明

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In this paper, we introduce the k-generalised fractional derivatives with three parameters which reduced to k-fractional Hilfer derivatives and k- Riemann-Liouville fractional derivative as an interesting special cases. Further, we have also introduced some presumably new fascinating results which include the image power function, Laplace transform and composition of k-Riemann- Liouville fractional integral with generalized composite fractional derivative. The technique developed in this paper can be used in other situation as well.

机译：在本文中，我们介绍了具有三个参数的K-Growalization分数衍生物，其减少到K-Fractional Hilfer衍生物和K-Riemann-Liouville分数衍生物作为一个有趣的特殊情况。此外，我们还介绍了一些推出的一些新的迷人结果，包括图像功率函数，Laplact变换和K-Riemann- Liouville分数整体与广义复合分数衍生物。本文开发的技术也可用于其他情况。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2020年第3期|797-804|共8页
作者
EKTA MITTAL; SUNIL JOSHI;
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作者单位

The IIS University Jaipur Rajasthan-302020 India;

Manipal University Jaipur Rajasthan-303007 India;

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原文格式 PDF
正文语种 eng
中图分类
关键词
k-Gamma function; k-Beta function; k-Gauss hypergeometric function; k-Riemann-Liouville fractional integral operator; k-Riemann-Liouville fractional derivative operator;

机译：K-Gamma功能;K-Beta功能;K-Gauss HyperGeometric功能;K-Riemann-Liouville分数整体运营商;K-Riemann-Liouville分数衍生术;

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NOTE ON A k-GENERALISED FRACTIONAL DERIVATIVE

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