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On Extended Caputo Fractional Derivative Operator

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 28 Dec 2017Publisher:MDPI AG

Authors: Gauhar Rahman; Kottakkaran Sooppy Nisar; Muhammad Arshad;

doi: 10.20944/preprints201712.0195.v1

On Extended Caputo Fractional Derivative Operator

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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.

Related Organizations

Prince Sattam Bin Abdulaziz University
Saudi Arabia
International Islamic University
Pakistan

Keywords

analysis

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hybrid

Fields of Science

Fields of Science