Study of generalized type K -fractional derivatives

Advances in Difference Equations

G Farid¹  MA Rehman²  MK Azam² 

[1] University of Agriculture, Faisalabad, Pakistan;University of Management and Technology, Lahore, Pakistan

关键词: generalized k-fractional derivative;    generalized Caputo type k-fractional derivative;    Mellin transform;    42A38;    26A33;   

DOI  :  10.1186/s13662-017-1311-2

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY