WEYL FRACTIONAL CALCULUS OPERATORS AND UNIFIED MITTAG LEFFLER FUNCTION

Abstract

In this paper we study certain properties of Weyl fractional calculus operators associated with Unified MittagLeffler function. We also introduced an integral operator  depending upon Weyl fractional integral operator and containing unified Mittag Leffler function in its kernel in the space  of Lebesgue measurable complex or real functions. Some properties of the operator  such as Laplace and Mellin transform of it and its composition with Weyl fractional calculus operators are also studied.