Fractional Calculus Operators Pertaining to Multivariable Aleph-function

In this paper we study a pair of unified and extended fractional integral operator involving the multivariable Aleph-function, Aleph-function and general class of polynomials. During this study, we establish five theorems pertaining to Mellin transforms of these operators. Furthers, some properties of these operators have also been investigated. On account of the general nature of the functions involved herein, a large number of (known and new) fractional integral operators involved simpler functions can also be obtained. We will quote the particular case concerning the multivariable I-function defined by Sharma and Ahmad [27] and the I-function of one variable defined by Saxena [20].