New definition of fractional derivative included Mittag-Leffler function of conformable type

Document Type : Original Article

Author

Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract
In this paper a new definitionn of fractional derivative and fractional integral in the sense of
conformable derivative type is presented. This form of definition shows that it is more compatible with
classical natural definition of derivative and is more convinient fractional derivative one. We will define
this for 0 ≤ α < 1 and n − 1 ≤ α < n and further, if α = 1 the definition coincides with the classical
definition of derivative of first order.

Keywords

Subjects


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Volume 5, Issue 2
Spring 2024
Pages 21-28

  • Receive Date 18 October 2023
  • Revise Date 10 May 2024
  • Accept Date 15 May 2024