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On the local fractional LWR model in fractal traffic flows in the entropy condition
Author(s) -
Guo YongMei,
Zhao Yang,
Zhou YaoMing,
Xiao ZhongBin,
Yang XiaoJun
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3808
Subject(s) - mathematics , fractal , differentiable function , entropy (arrow of time) , fractional calculus , statistical physics , calculus (dental) , mathematical analysis , physics , thermodynamics , medicine , dentistry
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. Copyright © 2015 John Wiley & Sons, Ltd.