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article · Fractal and Fractional

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

20248 citationsOpen accessSouth Valley University

Abstract

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

Research topics

  • Fractional Differential Equations Solutions
  • Mathematical functions and polynomials
  • Quantum Mechanics and Non-Hermitian Physics

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DOI: 10.3390/fractalfract8010058

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