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 | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Beirut
Sciendo
01.07.2020
De Gruyter Poland |
| Subjects | |
| 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 (
,
)-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. 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 |
| Author_xml | – sequence: 1 givenname: Daljeet surname: Kaur fullname: Kaur, Daljeet email: daljitk053@gmail.com organization: Department of Applied Sciences, Guru Kashi University, Bathinda-151302, India – sequence: 2 givenname: Praveen surname: Agarwal fullname: Agarwal, Praveen email: goyal.praveen2011@gmail.com organization: Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India – sequence: 3 givenname: Madhuchanda surname: Rakshit fullname: Rakshit, Madhuchanda email: drmrakshit@gmail.com organization: Department of Applied Sciences, Guru Kashi University, Bathinda-151302, India – sequence: 4 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... |
| SourceID | proquest crossref walterdegruyter |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 15 |
| SubjectTerms | Extended generalized Mathieu series Fractional derivative operators Fractional integral operators Integral transforms |
| Title | Fractional Calculus involving (p, q)-Mathieu Type Series |
| URI | https://www.degruyter.com/doi/10.2478/amns.2020.2.00011 https://www.proquest.com/docview/3191239238 |
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