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

DOAJ
Authors: Mohammed Z. Alqarni, Mohamed Akel, Mohamed Abdalla

Year

2024

Paper ID

35601

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

77

Citations

10

Abstract

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This manuscript focuses on new generalizations of q-Mittag-Leffler functions, called generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence...

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References & Citation Signals

[1] DOI https://doi.org/10.3390/fractalfract8010058 [2] Publisher https://www.mdpi.com/2504-3110/8/1/58

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