Certain Properties of Generalized q-Mittag–Leffler Type Function and its Application in Fractional q-Kinetic Equation

Bairwa, R. K.; Kumar, Ajay; Kumar, Devendra

doi:10.1007/s40819-022-01387-1

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2024

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“…Meanwhile, Purohit and Faruk Uçar investigated an application of the q-Sumudu transform for fractional q-kinetic equations in [18]. Recently, Bairwa et al [19] obtained the solution to the fractional q-kinetic equation pertaining to the generalized q-Mittag-Leffler function via the q-Sumudu transform. In a similar vein, Abujarad al.…”

Section: Introductionmentioning

confidence: 99%

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

Alqarni,

Akel,

Abdalla

2024

Fractal Fract

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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 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.

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Section: Introductionmentioning

confidence: 99%