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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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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Abstract 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.
AbstractList 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.
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.
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.
Author Chand, Mehar
Kaur, Daljeet
Agarwal, Praveen
Rakshit, Madhuchanda
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  givenname: Daljeet
  surname: Kaur
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  email: daljitk053@gmail.com
  organization: Department of Applied Sciences, Guru Kashi University, Bathinda-151302, India
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  givenname: Praveen
  surname: Agarwal
  fullname: Agarwal, Praveen
  email: goyal.praveen2011@gmail.com
  organization: Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India
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  givenname: Madhuchanda
  surname: Rakshit
  fullname: Rakshit, Madhuchanda
  email: drmrakshit@gmail.com
  organization: Department of Applied Sciences, Guru Kashi University, Bathinda-151302, India
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  givenname: Mehar
  surname: Chand
  fullname: Chand, Mehar
  email: mehar.jallandhra@gmail.com
  organization: Department of Mathematics, Baba Farid College, Bathinda-151001, India
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Snippet Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized ( , )-Mathieu type...
Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized ( p , q )-Mathieu type...
Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type...
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SubjectTerms Extended generalized Mathieu series
Fractional derivative operators
Fractional integral operators
Integral transforms
Title Fractional Calculus involving (p, q)-Mathieu Type Series
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