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

Qadha M. A., Qadha S. A., ABDELJAWAD T.

Fractals, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1142/s0218348x26500295
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: Extended κ-Pochhammer Matrix Symbol, Fractional Kinetic Equation, Multivariate Mittag-Leffler, κ-Fractional Calculus
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

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.