A Space Fractional Uphill Dispersion in Traffic Flow Model with Solutions by the Trial Equation Method

Rfaat Moner Soliby, Rfaat Moner Soliby and Jamaian, Siti Suhana (2023) A Space Fractional Uphill Dispersion in Traffic Flow Model with Solutions by the Trial Equation Method. Infrastructures. pp. 1-13.

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Abstract

This paper has two main objectives. First, we modify the traffic flow model by introducing the uphill dispersion that derives from the fact that, in peak hours, drivers tend to travel from low to high density regions. This means that the proposed model recovers wrong-way travel and is free from advected discontinuity. Second, in order to describe the anomalous transport behavior, we fractalize the proposed model to include dynamics with the fractional in space. As a result of adopting the fractional Fick’s law, several moving jam waves are presented which elucidate the nonhomogeneity of driving styles. Then, the GFFD fractional derivative and the trail equation method are applied and for some special cases solutions are simulated which could help transportation engineers to understand traffic behavior and thus make appropriate decisions when constructing a traffic signals network.

Item Type:	Article
Uncontrolled Keywords:	anomalous transport behavior; LWR model; trial method
Subjects:	T Technology > T Technology (General) > T175-178 Industrial research. Research and development
Divisions:	Faculty of Applied Science and Technology > Department of Technology and Natural Resources
Depositing User:	Mr. Mohamad Zulkhibri Rahmad
Date Deposited:	14 Jun 2023 00:46
Last Modified:	14 Jun 2023 00:46
URI:	http://eprints.uthm.edu.my/id/eprint/8819

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