In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform. Furthermore, we establish fractional integral and differential perators associated with this extended Mittag-Leffler type function. Several interesting special cases of our main results are derived.

In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform. Furthermore, we establish fractional integral and differential perators associated with this extended Mittag-Leffler type function. Several interesting special cases of our main results are derived.