κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS.
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| Title: | κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS. |
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| Authors: | QADHA, MUNEERA ABDULLAH1,2 (AUTHOR) mqadha@yahoo.com, QADHA, SARAH ABDULLAH1,2 (AUTHOR) sarah_qadha@csu.edu.cn, ABDELJAWAD, THABET3,4,5 (AUTHOR) tabdeljawad@psu.edu.sa |
| Source: | Fractals. 2026, Vol. 34 Issue 5, p1-16. 16p. |
| Subjects: | Matrix functions, Fractional calculus, Mellin transform, Special functions, Fractional differential equations, Integral transforms |
| Abstract: | In this paper, a matrix analogue of a new generalization of multivariate κ -Mittag-Leffler (M-L) function is introduced. The differential and integral formulas and the κ -fractional calculus operator for the generalized multivariate κ -M-L matrix function are obtained. The κ -Beta and Mellin transforms are presented for the generalized multivariate κ -M-L matrix function. Finally, the solution of the fractional kinetic equation involving the new multivariate κ -M-L matrix function is provided as an application. [ABSTRACT FROM AUTHOR] |
| Copyright of Fractals is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192852055 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22QADHA%2C+MUNEERA+ABDULLAH%22">QADHA, MUNEERA ABDULLAH</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mqadha@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22QADHA%2C+SARAH+ABDULLAH%22">QADHA, SARAH ABDULLAH</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> sarah_qadha@csu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22ABDELJAWAD%2C+THABET%22">ABDELJAWAD, THABET</searchLink><relatesTo>3,4,5</relatesTo> (AUTHOR)<i> tabdeljawad@psu.edu.sa</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fractals%22">Fractals</searchLink>. 2026, Vol. 34 Issue 5, p1-16. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Matrix+functions%22">Matrix functions</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Mellin+transform%22">Mellin transform</searchLink><br /><searchLink fieldCode="DE" term="%22Special+functions%22">Special functions</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+transforms%22">Integral transforms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, a matrix analogue of a new generalization of multivariate κ -Mittag-Leffler (M-L) function is introduced. The differential and integral formulas and the κ -fractional calculus operator for the generalized multivariate κ -M-L matrix function are obtained. The κ -Beta and Mellin transforms are presented for the generalized multivariate κ -M-L matrix function. Finally, the solution of the fractional kinetic equation involving the new multivariate κ -M-L matrix function is provided as an application. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fractals is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0218348X26500295 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 1 Subjects: – SubjectFull: Matrix functions Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Mellin transform Type: general – SubjectFull: Special functions Type: general – SubjectFull: Fractional differential equations Type: general – SubjectFull: Integral transforms Type: general Titles: – TitleFull: κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: QADHA, MUNEERA ABDULLAH – PersonEntity: Name: NameFull: QADHA, SARAH ABDULLAH – PersonEntity: Name: NameFull: ABDELJAWAD, THABET IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0218348X Numbering: – Type: volume Value: 34 – Type: issue Value: 5 Titles: – TitleFull: Fractals Type: main |
| ResultId | 1 |
