On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function

The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It shown that the derivative integral operators are bounded. Some fundamental characteristics of new operators, such as semi-group inverse characteristics, studied. As special cases these novel several already well known in literature acquired. generalized Laplace transform evaluated. By involving explored a kinetic differintegral equation introduced, its solution obtained by using transform. real-life problem, growth model developed graph sketched.