Abujarad, Mohammed H.Baleanu, DumitruAbujarad, Eman S.Jarad, Fahd2024-03-012025-09-182024-03-012025-09-182022Abujarad, Eman S.;...et.al. (2022). "Applıcatıon Of Q-Shehu Transform On Q-Fractıonal Kınetıc Equatıon Involvıng The Generalızed Hyper-Bessel Functıon", Fractals, Vol.30, No.5.0218-348X1793-6543https://doi.org/10.1142/S0218348X2240179Xhttps://hdl.handle.net/20.500.12416/11176In 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.eninfo:eu-repo/semantics/openAccessHyper-Bessel FunctionQ-Fractional Kinetic EquationQ-Shehu TransformGeneralized Mittag-Leffler FunctionArticle10.1142/S0218348X2240179X2-s2.0-85133824608