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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Eman S. Abujarad & Fahd Jarad & Mohammed H. Abujarad & Dumitru Baleanu, 2022. "APPLICATION OF q-SHEHU TRANSFORM ON q-FRACTIONAL KINETIC EQUATION INVOLVING THE GENERALIZED HYPER-BESSEL FUNCTION," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-11, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x2240179x
    DOI: 10.1142/S0218348X2240179X
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