摘要：In this paper, the generalized type k-fractional derivatives are introduced and their semi-group, commutative and inverse properties are presented. These derivatives can be reduced to other fractional derivatives by substituting the values of the parameters involved. The Mellin transform of generalized Caputo type k-fractional derivative is also found.
关键词：generalized k -fractional derivative ; generalized Caputo type k -fractional derivative ; Mellin transform
