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On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function

On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function

The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It is shown that the fractional derivative and integral operators are bounded. Some fundamental characteristics of the new fractional operators, such as the semi-group and inverse characteristics, are studied. As special cases of these novel fractional operators, …