Caputo definition for finding fractional moments of power law distribution functions

Abdul-Jabbar, Rifaat Saad

doi:10.22075/ijnaa.2022.5656

Caputo definition for finding fractional moments of power law distribution functions

Document Type : Research Paper

Author

Rifaat Saad Abdul-Jabbar

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

10.22075/ijnaa.2022.5656

Abstract

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.

Keywords

Fractional moment

Caputo definition

Power law distribution functions

Fourier transform

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