On generalized fractional integral operator associated with generalized Bessel-Maitland function

Abstract

In this paper, we describe generalized fractional integral operator and its inverse with generalized Bessel-Maitland function (BMF-Ⅴ) as its kernel. We discuss its convergence, boundedness, its relation with other well known fractional operators (Saigo fractional integral operator, Riemann-Liouville fractional operator), and establish its integral transform. Moreover, we have given the relationship of BMF-Ⅴ with Mittag-Leffler functions.

Keywords

• extended bessel-maitland function
• integral transform
• riemann-liouville fractional integral operator