Article
Version 1
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On Extended Caputo Fractional Derivative Operator
Version 1
: Received: 27 December 2017 / Approved: 28 December 2017 / Online: 28 December 2017 (08:11:51 CET)
How to cite: Rahman, G.; Nisar, K. S.; Arshad, M. On Extended Caputo Fractional Derivative Operator. Preprints 2017, 2017120195. https://doi.org/10.20944/preprints201712.0195.v1 Rahman, G.; Nisar, K. S.; Arshad, M. On Extended Caputo Fractional Derivative Operator. Preprints 2017, 2017120195. https://doi.org/10.20944/preprints201712.0195.v1
Abstract
The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Also, we investigate the extended fractional derivative of some familiar special functions, the Mellin transforms of newly defined Caputo fractional derivative operator and generating relations for extension of extended hypergeometric functions.
Keywords
hypergeometric function; beta function; extended hypergeometric function; Mellin transform; fractional derivative; Caputo fractional derivative; Appell's function; generating relation
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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