A Class Of Fractional Integral Operators With Multi-Index Mittag-Leffler K-Function And Bessel K-Function Of First Kind

In this paper, we discuss the multi-index Mittag Leffler k-function and Bessel k-function of the first kind in fractional calculus. We investigate fractional integral operators (Saigo's, Erdelyi Kober, Reimann Liouvill, Weyl) and extend with the product of multi-index Mittag Leffler k-function to the Bessel k-function of the first kind. Here, we establish new theorems that provide the image of multi-index Mittag Leffler and Bessel k-functions under these k-fractional operators. These results are derived in general behave and give several well-known results in the theory of multi-index k-functions.