Image formulas and graphical interpretation of fractional derivatives of Fl-function and G-function

Mehar Chand; Praveen Agarwal; Shilpi Jain; Guotao Wang; K. S. Nisar

Image formulas and graphical interpretation of fractional derivatives of Fl-function and G-function

Mehar Chand
, Praveen Agarwal
, Shilpi Jain
, Guotao Wang
, K. S. Nisar

Fateh College for Women
International College of Engineering
Poornima College of Engineering
Shanxi Normal University
Prince Sattam Bin Abdulaziz University

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

4 Scopus citations

Abstract

In this paper, our main objective is to establish certain new image formulas of R- and G-functions by applying the operators of fractional derivative involving Appell's function F₃(.) due to Saigo-Maeda and the main results interpreted graphically by implementing the MatLab(R2012a). Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

Original language	English
Pages (from-to)	633-652
Number of pages	20
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	26
Issue number	4
State	Published - Oct 2016
Externally published	Yes

Keywords

Fractional integral operators
G-Function
R-Function
Special functions

Cite this

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title = "Image formulas and graphical interpretation of fractional derivatives of Fl-function and G-function",

abstract = "In this paper, our main objective is to establish certain new image formulas of R- and G-functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda and the main results interpreted graphically by implementing the MatLab(R2012a). Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.",

keywords = "Fractional integral operators, G-Function, R-Function, Special functions",

author = "Mehar Chand and Praveen Agarwal and Shilpi Jain and Guotao Wang and Nisar, \{K. S.\}",

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T1 - Image formulas and graphical interpretation of fractional derivatives of Fl-function and G-function

AU - Chand, Mehar

AU - Agarwal, Praveen

AU - Jain, Shilpi

AU - Wang, Guotao

AU - Nisar, K. S.

PY - 2016/10

Y1 - 2016/10

N2 - In this paper, our main objective is to establish certain new image formulas of R- and G-functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda and the main results interpreted graphically by implementing the MatLab(R2012a). Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

AB - In this paper, our main objective is to establish certain new image formulas of R- and G-functions by applying the operators of fractional derivative involving Appell's function F3(.) due to Saigo-Maeda and the main results interpreted graphically by implementing the MatLab(R2012a). Furthermore, by employing some integral transforms on the resulting formulas, we presented some more image formulas. All the results derived here are of general character and can yield a number of (known and new) results in the theory of special functions.

KW - Fractional integral operators

KW - G-Function

KW - R-Function

KW - Special functions

UR - https://www.scopus.com/pages/publications/85009262027

M3 - Article

AN - SCOPUS:85009262027

SN - 1229-3067

VL - 26

SP - 633

EP - 652

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 4

ER -

Image formulas and graphical interpretation of fractional derivatives of Fl-function and G-function

Abstract

Keywords

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