Fractional calculus involving (p, q)-mathieu type series

Daljeet Kaur; Praveen Agarwal; Madhuchanda Rakshit; Mehar Chand

doi:10.2478/amns.2020.2.00011

Fractional calculus involving (p, q)-mathieu type series

Daljeet Kaur
, Praveen Agarwal
, Madhuchanda Rakshit
, Mehar Chand

Guru Kashi University
International College of Engineering
Baba Farid College

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

62 Scopus citations

Abstract

Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.

Original language	English
Pages (from-to)	15-34
Number of pages	20
Journal	Applied Mathematics and Nonlinear Sciences
Volume	5
Issue number	2
DOIs	https://doi.org/10.2478/amns.2020.2.00011
State	Published - 1 Jul 2020
Externally published	Yes

Keywords

Extended generalized Mathieu series
Fractional derivative operators
Fractional integral operators
Integral transforms

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10.2478/amns.2020.2.00011

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title = "Fractional calculus involving (p, q)-mathieu type series",

abstract = "Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.",

keywords = "Extended generalized Mathieu series, Fractional derivative operators, Fractional integral operators, Integral transforms",

author = "Daljeet Kaur and Praveen Agarwal and Madhuchanda Rakshit and Mehar Chand",

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T1 - Fractional calculus involving (p, q)-mathieu type series

AU - Kaur, Daljeet

AU - Agarwal, Praveen

AU - Rakshit, Madhuchanda

AU - Chand, Mehar

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.

AB - Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.

KW - Extended generalized Mathieu series

KW - Fractional derivative operators

KW - Fractional integral operators

KW - Integral transforms

UR - https://www.scopus.com/pages/publications/85092065841

U2 - 10.2478/amns.2020.2.00011

DO - 10.2478/amns.2020.2.00011

M3 - Article

AN - SCOPUS:85092065841

SN - 2444-8656

VL - 5

SP - 15

EP - 34

JO - Applied Mathematics and Nonlinear Sciences

JF - Applied Mathematics and Nonlinear Sciences

IS - 2

ER -

Fractional calculus involving (p, q)-mathieu type series

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Keywords

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