Academic Journal

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

Λεπτομέρειες βιβλιογραφικής εγγραφής
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
Περιγραφή
ISSN:0218348X
DOI:10.1142/S0218348X26500295