Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws

DOI10.1155/2014/635760zbMath1468.90038OpenAlexW2169112847WikidataQ58101184 ScholiaQ58101184MaRDI QIDQ1724624

Carlo Cattani, Dumitru Baleanu, Yang Zhao, Xiao-Jun Yang, Long-Fei Wang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/635760

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Fractional partial differential equations (35R11)

Related Items

Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow, A study on the new class of inequalities of midpoint-type and trapezoidal-type based on twice differentiable functions with conformable operators, Analytical method to solve the local fractional vehicular traffic flow model, A generalized local fractional LWR model of vehicular traffic flow and its solution

Cites Work

• Unnamed Item
• Unnamed Item
• Delay bound: fractal traffic passes through network servers
• Systems of Navier-Stokes equations on Cantor sets
• Maxwell's equations on Cantor sets: a local fractional approach
• First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
• Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantor-type cylindrical coordinates
• Fractal nature of highway traffic data
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• FRACTAL TRAFFIC FLOWS IN HIGH-SPEED COMMUNICATIONS NETWORKS
• ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING
• On non-entropy solutions of scalar conservation laws for traffic flow
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Multiscale analysis and control of networks with fractal traffic