# Fractional Langevin Equation of Distributed Order

Source: [Fractional Langevin Equation of Distributed Order](<https://www.sota2.com/research/paper/68fa2aff1e209131ce8427ab>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:54:05.209Z

Authors: C.H. Eab, S.C. Lim

Published: 2010-10-16T06:34:54.000Z

## Abstract

Distributed order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent. It is shown that these fractional Langevin equations of distributed order can be used to model the kinetics of retarding subdiffusion whose scaling exponent decreases with time, and the strongly anomalous ultraslow diffusion with mean square displacement which varies asymptoically as a power of logarithm of time.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1010.3327>)

[PDF](<https://arxiv.org/pdf/1010.3327.pdf>)