κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS
Fractals, vol.34, no.5, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 34 Issue: 5
- Publication Date: 2026
- Doi Number: 10.1142/s0218348x26500295
- Journal Name: Fractals
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
- Keywords: Extended κ -Pochhammer Matrix Symbol, Fractional Kinetic Equation, Multivariate Mittag-Leffler, κ -Fractional Calculus
- Istanbul Gelisim University Affiliated: Yes
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.