Certain fractional calculus formulas involving extended generalized mathieu series

Gurmej Singh; Praveen Agarwal; Serkan Araci; Mehmet Acikgoz

doi:10.1186/s13662-018-1596-9

Certain fractional calculus formulas involving extended generalized mathieu series

Gurmej Singh
, Praveen Agarwal
, Serkan Araci
, Mehmet Acikgoz

Mata Sahib Kaur Girls College
Singhania University
International College of Engineering
International Center for Basic and Applied Sciences
Hasan Kalyoncu University
Gaziantep University

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

9 Scopus citations

Abstract

We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we discuss special cases.

Original language	English
Article number	144
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1596-9
State	Published - 2018
Externally published	Yes

Keywords

Extended generalized Mathieu series
Fractional derivative operators
Fractional integral operators
Gamma function
Hypergeometric function

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10.1186/s13662-018-1596-9

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title = "Certain fractional calculus formulas involving extended generalized mathieu series",

abstract = "We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we discuss special cases.",

keywords = "Extended generalized Mathieu series, Fractional derivative operators, Fractional integral operators, Gamma function, Hypergeometric function",

author = "Gurmej Singh and Praveen Agarwal and Serkan Araci and Mehmet Acikgoz",

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T1 - Certain fractional calculus formulas involving extended generalized mathieu series

AU - Singh, Gurmej

AU - Agarwal, Praveen

AU - Araci, Serkan

AU - Acikgoz, Mehmet

N1 - Publisher Copyright: © The Author(s) 2018.

PY - 2018

Y1 - 2018

N2 - We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we discuss special cases.

AB - We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we discuss special cases.

KW - Extended generalized Mathieu series

KW - Fractional derivative operators

KW - Fractional integral operators

KW - Gamma function

KW - Hypergeometric function

UR - https://www.scopus.com/pages/publications/85049659123

U2 - 10.1186/s13662-018-1596-9

DO - 10.1186/s13662-018-1596-9

M3 - Article

AN - SCOPUS:85049659123

SN - 1687-1839

VL - 2018

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 144

ER -

Certain fractional calculus formulas involving extended generalized mathieu series

Abstract

Keywords

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