Further extended Caputo fractional derivative operator and its applications

P. Agarwal; S. Jain; T. Mansour

doi:10.1134/S106192081704001X

Further extended Caputo fractional derivative operator and its applications

P. Agarwal, S. Jain, T. Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, our principle aim is to establish a new extension of the Caputo fractional derivative operator involving the generalized hypergeometric type function F_p(a, b; c; z; k), introduced by Lee et al. Some extensions of the generalized hypergeometric functions and their integral representations are also presented. Furthermore, linear and bilinear generating relations for the extended hypergeometric functions are obtained. We also present some properties of the extended fractional derivative operator.

Original language	American English
Pages (from-to)	415-425
Number of pages	11
Journal	Russian Journal of Mathematical Physics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1134/S106192081704001X
State	Published - 1 Oct 2017

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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N2 - In this paper, our principle aim is to establish a new extension of the Caputo fractional derivative operator involving the generalized hypergeometric type function Fp(a, b; c; z; k), introduced by Lee et al. Some extensions of the generalized hypergeometric functions and their integral representations are also presented. Furthermore, linear and bilinear generating relations for the extended hypergeometric functions are obtained. We also present some properties of the extended fractional derivative operator.

AB - In this paper, our principle aim is to establish a new extension of the Caputo fractional derivative operator involving the generalized hypergeometric type function Fp(a, b; c; z; k), introduced by Lee et al. Some extensions of the generalized hypergeometric functions and their integral representations are also presented. Furthermore, linear and bilinear generating relations for the extended hypergeometric functions are obtained. We also present some properties of the extended fractional derivative operator.

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JF - Russian Journal of Mathematical Physics

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Further extended Caputo fractional derivative operator and its applications

Abstract

All Science Journal Classification (ASJC) codes

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