广义扩展Riemann-Liouville型分数阶导数算子

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI:10.46793/kgjmat2301.057a

Hafida Abbas, Abdelhalim Azzouz, M. B. Zahaf, M. Belmekki

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引用次数: 0

摘要

在本文中，我们利用Boudjelkha[？]的扩展贝塞尔函数，提出了不完全伽玛、β、高斯超几何、对流超几何函数和Appel-Lauricella超几何函数的新扩展。对这些推广得到了一些递推关系、变换公式、梅林变换和积分表示。进一步，建立了Riemann-Liouville分数阶导数算子的一个推广。

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Generalized Extended Riemann-Liouville Type Fractional Derivative Operator

In this paper, we present new extensions of incomplete gamma, beta, Gauss hypergeometric, conﬂuent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [?]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these generalizations. Further, an extension of the Riemann-Liouville fractional derivative operator is established.

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