ON GENERALIZED k-FRACTIONAL DERIVATIVE OPERATOR

نویسندگان

  • GAUHAR RAHMAN
  • KOTTAKKARAN SOOPPY NISAR
  • SHAHID MUBEEN
  • S. MUBEEN
چکیده

The main objective of this paper is to introduce k-fractional derivative operator by using the definition of k-beta function. We establish some results related to the newly defined fractional operator such as Mellin transform and relations to khypergeometric and k-Appell’s functions. Also, we investigate the k-fractional derivative of k-Mittag-Leffler and Wright hypergeometric functions.

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تاریخ انتشار 2017