An-Najah University Journal for Research - A (Natural Sciences)

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Abstract

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.

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الملخص

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.