Accession Number:

ADA624914

Title:

Fractional Trajectories: Decorrelation Versus Friction

Descriptive Note:

Journal article

Corporate Author:

UNIVERSITY OF NORTH TEXAS DENTON

Report Date:

2013-07-27

Pagination or Media Count:

13.0

Abstract:

The fundamental connection between fractional calculus and subordination processes is explored and affords a physical interpretation of a fractional trajectory, that being an average over an ensemble of stochastic trajectories. Heretofore what has been interpreted as intrinsic friction, a form of non-Markovian dissipation that automatically arises from adopting the fractional calculus, is shown to be a manifestation of decorrelations between trajectories. We apply the general theory developed herein to the Lotka Volterra ecological model, providing new insight into the final equilibrium state. The relaxation time to achieve this state is also considered.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE