DOAJ Open Access 2024

Solutions to Fractional <i>q</i>-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions

Mohammed Z. Alqarni Mohamed Akel Mohamed Abdalla

Abstrak

This manuscript focuses on new generalizations of <i>q</i>-Mittag-Leffler functions, called generalized hyper <i>q</i>-Mittag-Leffler functions, and discusses their regions of convergence and various fractional q operators. Moreover, the solutions to the <i>q</i>-fractional kinetic equations in terms of the investigated generalized hyper <i>q</i>-Mittag-Leffler functions are obtained by applying the <i>q</i>-Sumudu integral transform. Furthermore, we present solutions obtained as numerical graphs using the MATLAB 2018 program.

Penulis (3)

M

Mohammed Z. Alqarni

M

Mohamed Akel

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Mohamed Abdalla

Format Sitasi

Alqarni, M.Z., Akel, M., Abdalla, M. (2024). Solutions to Fractional <i>q</i>-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions. https://doi.org/10.3390/fractalfract8010058

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.3390/fractalfract8010058
Akses
Open Access ✓