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κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS.

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Τίτλος: κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS.
Συγγραφείς: 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
Πηγή: Fractals. 2026, Vol. 34 Issue 5, p1-16. 16p.
Θεματικοί όροι: *Matrix functions, *Fractional calculus, *Mellin transform, *Special functions, *Fractional differential equations, *Integral transforms
Περίληψη: 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]
Βάση Δεδομένων: Academic Search Index
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  Data: κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS.
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  Data: <searchLink fieldCode="JN" term="%22Fractals%22">Fractals</searchLink>. 2026, Vol. 34 Issue 5, p1-16. 16p.
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  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>
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  Label: Abstract
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  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]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1142/S0218348X26500295
    Languages:
      – Code: eng
        Text: English
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        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.
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            NameFull: QADHA, MUNEERA ABDULLAH
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            NameFull: QADHA, SARAH ABDULLAH
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            NameFull: ABDELJAWAD, THABET
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          Dates:
            – D: 01
              M: 06
              Text: 2026
              Type: published
              Y: 2026
          Identifiers:
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              Value: 0218348X
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              Value: 34
            – Type: issue
              Value: 5
          Titles:
            – TitleFull: Fractals
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