APPLICATION OF q-SHEHU TRANSFORM ON q-FRACTIONAL KINETIC EQUATION INVOLVING THE GENERALIZED HYPER-BESSEL FUNCTION

Eman S. Abujarad (), Fahd Jarad, Mohammed H. Abujarad () and Dumitru Baleanu
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Eman S. Abujarad: Department of Mathematics, Gaza University, Gaza, Palestine
Fahd Jarad: Department of Mathematics, Çankaya University, 06790 Ankara, Turkey3Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Mohammed H. Abujarad: Department of Mathematics, Gaza University, Gaza, Palestine
Dumitru Baleanu: Department of Mathematics, Çankaya University, 06790 Ankara, Turkey4Institute of Space Sciences, Măgurele, Bucharest 077125, Romania

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-11

Abstract: In this paper, we introduce the q-Shehu transform. Further, we define the generalized hyper-Bessel function. Also, we state the q-Shehu transform for some elementary functions. The present aim in this paper is to obtain the solutions of the q-fractional kinetic equations in terms of the established generalized hyper-Bessel function by applying the established q-Shehu transform. Also, we give some special cases of our main results. At the end of this paper, we give the numerical values and the graphical representations of these solutions by using the software MATLAB.

Keywords: Hyper-Bessel Function; q-Fractional Kinetic Equation; q-Shehu Transform; Generalized Mittag-Leffler Function (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X2240179X

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