Certain fractional q-integral formulas for the basic I-function of two variables

Kumar D., Ayant F., UÇAR F., Purohit S. D.

Mathematics in Engineering, Science and Aerospace, vol.13, no.2, pp.315-321, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2022
  • Journal Name: Mathematics in Engineering, Science and Aerospace
  • Journal Indexes: Scopus
  • Page Numbers: pp.315-321
  • Keywords: Basic analogue of h-function of two variables, Basic analogue of i-function of two variables, Fractional q-integral operators, Q-mellin-barnes double contour integral.
  • Marmara University Affiliated: Yes

Abstract

© CSP - Cambridge, UK; I&S - Florida, USA, 2022In the present paper, we derive two theorems involving fractional q-integral operators of Erdélyi-Kober type involving the basic analogue of the I-function of two variables. Corresponding assertions for the Riemann-Liouville and Weyl fractional q-integral transforms are also presented. Several special cases of the main results have also been illustrated.