Bibliographic Details
| Title: |
κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS. |
| 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] |
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| Database: |
Engineering Source |
