Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws

Author:

Wang Long-Fei1,Yang Xiao-Jun2,Baleanu Dumitru345,Cattani Carlo6,Zhao Yang7

Affiliation:

1. School of Highway, Chang’an University, Xi’an 710064, China

2. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China

3. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

4. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

5. Institute of Space Sciences, Magurele, Bucharest, Romania

6. Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy

7. Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China

Abstract

We suggest a new model of the scale conservation equation in the mathematical theory of vehicular traffic flow on the fractal network based on the local fractional calculus.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

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