Accession Number:

ADA434831

Title:

Aging and Rejuvenation with Fractional Derivatives

Descriptive Note:

Journal article

Corporate Author:

NORTH TEXAS STATE UNIV DENTON

Report Date:

2004-09-10

Pagination or Media Count:

12.0

Abstract:

We discuss a dynamic procedure that makes fractional derivatives emerge in the time asymptotic limit of non-Poisson processes. We find that two-state fluctuations, with an inverse power-law distribution of waiting times, finite first moment, and divergent second moment, namely, with the power index micro in the interval 2 micro 3, yield a generalized master equation equivalent to the sum of an ordinary Markov contribution and a fractional derivative term. We show that the order of the fractional derivative depends on the age of the process under study. If the system is infinitely old, the order of the fractional derivative, alpha, is given by o3 micro.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE