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.