This article deals with the family of extended Mittag-Leffler
function in short ML-function defined in terms of extended Beta function,
which depends upon the bounded sequence {κn}. The focus of the article
is to define integral and differential operators of Weyl-type fractional operators associated with the proposed function. A new fractional calculus
integral operator involving extended ML-function is also defined and its
composition with the fractional calculus operators and some basic properties studied as well.