SOME FRACTIONAL CALCULUS PROPERTIES OF BIVARIATE MITTAG-LEFFLER FUNCTION.

We study bivariate Mittag-Leffler function which is an extension of several known Mittag-Leffler functions. We derive the Riemann-Liouville fractional derivatives and integrals of these function and solve a singular integral equation with the bivariate Mittag-Leffler function in the kernel. We also introduce and investigate a fractional integral operator involving the bivariate Mittag-Leffler function. [ABSTRACT FROM AUTHOR]