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On a certain extension of the Riemann-Liouville fractional derivative operator

Kottakkaran Sooppy Nisar|Gauhar Rahman|Zivorad Tomovski
대한수학회 (The Korean Mathematical Society)|2019.04|대한수학회논문집 (Communications of the KMS)|제34권 제2호|pp. 507-522|DOI 10.4134/CKMS.c180140

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참고문헌

키워드

Mellin transformfractional derivativebeta functionAppell's functionhypergeometric functionextended hypergeometric function
주제분류수학

초록

The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of beta function recently defined by Shadab et al.~\cite{Choi2017}. Moreover, we establish some results related to the newly defined modified fractional derivative operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.

Abstract

The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of beta function recently defined by Shadab et al.~\cite{Choi2017}. Moreover, we establish some results related to the newly defined modified fractional derivative operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.

참고문헌 (21)

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