Caputo definition for finding fractional moments of power law distribution functions

Document Type : Research Paper


Department of Mathematics, College of Science, University of Anbar, Iraq


In this paper, we propose a modern technique to derive fractional moment by using Caputo definition of fractional derivative.  Such technique represents a modification of fractional moments on a certain type of function which is known by the power law distribution functions.  The results have been obtained show that the obtained fractional moments within such functions have closed form.


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Volume 13, Issue 1
March 2022
Pages 1131-1136
  • Receive Date: 15 March 2021
  • Revise Date: 02 May 2021
  • Accept Date: 30 June 2021