On the local fractional LWR model in fractal traffic flows in the entropy condition

Yong Mei Guo; Yang Zhao; Yao Ming Zhou; Zhong Bin Xiao; Xiao Jun Yang

doi:10.1002/mma.3808

On the local fractional LWR model in fractal traffic flows in the entropy condition

Yong Mei Guo
, Yang Zhao
, Yao Ming Zhou^*
, Zhong Bin Xiao
, Xiao Jun Yang

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Entropy plays an important role in the simulation of traffic flow distribution. This paper studies the entropy condition for the Lighthill–Whitham–Richards model of the fractal traffic flows described by local fractional calculus. We also discuss the solutions of non-differentiability with graphs by using the local fractional variational iteration method.

Original language	English
Pages (from-to)	6127-6132
Number of pages	6
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	17
DOIs	https://doi.org/10.1002/mma.3808
State	Published - 30 Nov 2017

Keywords

26A30
35C10
entropy
local fractional calculus
local fractional variational iteration method
series solutions
subclass90B20
traffic problems

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10.1002/mma.3808

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abstract = "Entropy plays an important role in the simulation of traffic flow distribution. This paper studies the entropy condition for the Lighthill–Whitham–Richards model of the fractal traffic flows described by local fractional calculus. We also discuss the solutions of non-differentiability with graphs by using the local fractional variational iteration method.",

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author = "Guo, \{Yong Mei\} and Yang Zhao and Zhou, \{Yao Ming\} and Xiao, \{Zhong Bin\} and Yang, \{Xiao Jun\}",

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AU - Yang, Xiao Jun

PY - 2017/11/30

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KW - 35C10

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KW - local fractional calculus

KW - local fractional variational iteration method

KW - series solutions

KW - subclass90B20

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On the local fractional LWR model in fractal traffic flows in the entropy condition

Abstract

Keywords

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