(p, k) Matrix Mittag‐Leffler and Pochhammer Functions With Applications to Fractional Differential Systems.
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| Title: | (p, k) Matrix Mittag‐Leffler and Pochhammer Functions With Applications to Fractional Differential Systems. |
|---|---|
| Authors: | Al–Sheikh, Mohamed S.1 (AUTHOR) mohammedali.2459@azhar.edu.eg, Bakhet, Ahmed1,2 (AUTHOR), Mahmoud, Ahmed Adly1 (AUTHOR), Zahran, Ahmed M.1 (AUTHOR), Cortés, J.-C. (AUTHOR) jccortes@imm.upv.es |
| Source: | Abstract & Applied Analysis. 6/19/2026, Vol. 2026, p1-10. 10p. |
| Subjects: | Fractional differential equations, Matrix functions |
| Abstract: | In this study, we introduce the two‐parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations. Furthermore, we construct gamma and beta matrix functions of two parameters and prove properties similar to their classical counterparts. Additionally, we define the (p, k) Mittag‐Leffler matrix function, exploring its fundamental properties, computation methods, and practical applications in solving systems of linear fractional differential equations. [ABSTRACT FROM AUTHOR] |
| Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194722538 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=194722538 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/aaa/6468748 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Subjects: – SubjectFull: Fractional differential equations Type: general – SubjectFull: Matrix functions Type: general Titles: – TitleFull: (p, k) Matrix Mittag‐Leffler and Pochhammer Functions With Applications to Fractional Differential Systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Al–Sheikh, Mohamed S. – PersonEntity: Name: NameFull: Bakhet, Ahmed – PersonEntity: Name: NameFull: Mahmoud, Ahmed Adly – PersonEntity: Name: NameFull: Zahran, Ahmed M. – PersonEntity: Name: NameFull: Cortés, J.-C. IsPartOfRelationships: – BibEntity: Dates: – D: 19 M: 06 Text: 6/19/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10853375 Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Abstract & Applied Analysis Type: main |
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