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Kumar, Dinesh; Ayant, Frédéric; Nisar, Kottakkaran Sooppy; Suthar, Daya Lal
National Academy of Sciences, India. Proceedings. Section A. Physical Sciences, 06/2023, Letnik: 93, Številka: 2Journal Article, Conference Proceeding
In the present article, we proposed the fractional-order Kober and generalized Weyl q -integrals involving a basic (or q -) analogue of multivariable Aleph-function. Similar assertions for the Riemann–Liouville and Weyl fractional q -integral transforms are also presented. Several corollaries are also established to strengthen the results. By specializing the various parameters and variables in the basic analogue of multivariable Aleph-function, we can obtain a large number of results involving a remarkably wide variety of useful basic functions.
