Fractional Calculus involving (p, q)-Mathieu Type Series

Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized ( , )-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kineti...

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Bibliographic Details
Published in:	Applied mathematics and nonlinear sciences Vol. 5; no. 2; pp. 15 - 34
Main Authors:	Kaur, Daljeet, Agarwal, Praveen, Rakshit, Madhuchanda, Chand, Mehar
Format:	Journal Article
Language:	English
Published:	Beirut Sciendo 01.07.2020 De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:	Extended generalized Mathieu series Fractional derivative operators Fractional integral operators Integral transforms
ISSN:	2444-8656, 2444-8656
Online Access:	Get full text
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Summary:	Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized ( , )-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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2444-8656 2444-8656
DOI:	10.2478/amns.2020.2.00011