Generalized q-Fractional Saigo Operator Associated with the Four-Parameter Mittag–Leffler Function

Dr. Vijay Kumar Vyas; Arti  Sharma

doi:10.5269/bspm.79735

Generalized q-Fractional Saigo Operator Associated with the Four-Parameter Mittag–Leffler Function

Authors

Dr. Vijay Kumar Vyas IcfaiTech, The ICFAI University Jaipur
Arti Sharma IcfaiTech, The ICFAI University, Jaipur, India

DOI:

https://doi.org/10.5269/bspm.79735

Abstract

The main goal of this article is to present two new simple versions of the fourparameter Mittag-Leffler function. We have created some q-integral forms and Saigo q-fractional operators for these new versions. Additionally, we have found Riemann- Liouville-type fractional q-integrals and q-derivatives for these versions, which are used in the study of q-fractional calculus