[1] Agrawal, S., Kanagaraj, V., & Treiber, M. (2023). Two-dimensional LWR model for lane-free traffic. Physica A: Statistical Mechanics and its Applications, 625, 128990. 1, 3, 6
[2] Amin, S., Andrews, S., Apte, S., Arnold, J., Ban, J., Benko, M., ... & Tinka, A. (2008, November). Mobile century using GPS mobile phones as traffic sensors: a field experiment. In 15th World Congress on Intelligent Transportation Systems (Vol. 2008, p. 18). IEEE. 1
[3] Aw, A. A. T. M., & Rascle, M. (2000). Resurrection of" second order" models of traffic flow. SIAM journal on applied mathematics, 60(3), 916-938. 1, 1
[4] Babakhani, A., & Daftardar-Gejji, V. (2002). On calculus of local fractional derivatives. Journal of Mathematical Analysis and Applications, 270(1), 66-79. 1
[5] Baleanu, D., & Jassim, H. K. (2019). A modification fractional homotopy perturbation method for solving Helmholtz and coupled Helmholtz equations on Cantor sets. Fractal and Fractional, 3(2), 30. 1
[6] Baleanu, D., Jassim, H. K., & Al Qurashi, M. (2019). Solving Helmholtz equation with local fractional derivative operators. Fractal and Fractional, 3(3), 43. 1
[7] Balzotti, C., & Göttlich, S. (2020). A two-dimensional multi-class traffic flow model. arXiv preprint arXiv:2006.10131. 1
[8] Blandin, S., Bretti, G., Cutolo, A., & Piccoli, B. (2009). Numerical simulations of traffic data via fluid dynamic approach. Applied Mathematics and Computation, 210(2), 441-454. 1
[9] Cannon, J. W. (1984). The fractal geometry of nature. by Benoit B. Mandelbrot. The American Mathematical Monthly, 91(9), 594-598. 1
[10] Chen, W., Sun, H., Zhang, X., & Koroak, D. (2010). Anomalous diffusion modeling by fractal and fractional derivatives. Computers & Mathematics with Applications, 59(5), 1754-1758. 1
[11] Claudel, C. G., & Bayen, A. M. (2010). LaxHopf based incorporation of internal boundary conditions into Hamil- tonJacobi equation. Part I: Theory. IEEE Transactions on Automatic Control, 55(5), 1142-1157. 1
[12] Cui, P., & Jassim, H. K. (2024). Local fractional Sumudu decomposition method to solve fractal PDEs arising in mathematical physics. Fractals, 32(04), 2440029. 1
[13] Daganzo, C. F. (2002). A behavioral theory of multi-lane traffic flow. Part I: Long homogeneous freeway sections. Transportation Research Part B: Methodological, 36(2), 131-158. 1
[14] Fan, S., Herty, M., & Seibold, B. (2013). Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. arXiv preprint arXiv:1310.8219. 1
[15] Gazis, D. C., Herman, R., & Weiss, G. H. (1962). Density oscillations between lanes of a multilane highway. Operations Research, 10(5), 658-667. 1
[16] Gupta, A. K., & Dhiman, I. (2014). Analyses of a continuum traffic flow model for a nonlane-based system. International Journal of Modern Physics C, 25(10), 1450045. 1
[17] Hao, Y. J., Srivastava, H. M., Jafari, H., & Yang, X. J. (2013). Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantortype cylindrical coordinates. Advances in Mathematical Physics, 2013(1), 754248. 1
[18] He, J. H., Elagan, S. K., & Li, Z. B. (2012). Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus. Physics letters A, 376(4), 257-259. 1
[19] Helbing, D., & Treiber, M. (1999). Numerical simulation of macroscopic traffic equations. Computing in Science & Engineering, 1(5), 89-98. 1
[20] Herty, M., Fazekas, A., & Visconti, G. (2017). A two-dimensional data-driven model for traffic flow on highways. arXiv preprint arXiv:1706.07965. 1
[21] Jafari, H., & Jassim, H. K. (2015). Local fractional variational iteration method for solving nonlinear partial dif-
ferential equations within local fractional operators. Applications and Applied Mathematics: An International Journal (AAM), 10(2), 29. 2.4, 2.5
[22] Jafari, H., Jassim, H. K., Ünlü, C., & Nguyen, V. T. (2024). Laplace decomposition method for solving the two- dimensional diffusion problem in fractal heat transfer. Fractals, 32(04), 2440026. 1
[23] Jafari, H., Jassim, H. K., Ansari, A., & Nguyen, V. T. (2024). Local fractional variational iteration transform method: A tool for solving local fractional partial differential equations. Fractals, 32(04), 2440022. 1
[24] Jafari, H., Zair, M. Y., & Jassim, H. K. (2023). Analysis of fractional NavierStokes equations. Heat Transfer, 52(3), 2859-2877. 1
[25] Jassim, H. K., & Khafif, S. A. (2021). SVIM for solving Burgers and coupled Burgers equations of fractional order. Progress in Fractional Differentiation and Applications, 7(1), 1-6. 1
[26] Kamil Jassim, H., & Vahidi, J. (2021). A new technique of reduce differential transform method to solve local
fractional PDEs in mathematical physics. International Journal of Nonlinear Analysis and Applications, 12(1), 37-44. 1
[27] Laval, J. A., & Daganzo, C. F. (2006). Lane-changing in traffic streams. Transportation Research Part B: Methodological, 40(3), 251-264. 1
[28] Lebacque, J. P. (1996, July). The godunov scheme and what it means for rst order tra c ow models. In Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, July (Vol. 2426). 1
[29] Liang, Y., Allen, Q. Y., Chen, W., Gatto, R. G., Colon-Perez, L., Mareci, T. H., & Magin, R. L. (2016). A fractal
derivative model for the characterization of anomalous diffusion in magnetic resonance imaging. Communications in Nonlinear Science and Numerical Simulation, 39, 529-537. 1
[30] Liang, Y., Chen, W., Xu, W., & Sun, H. (2019). Distributed order Hausdorff derivative diffusion model to charac-
terize non-Fickian diffusion in porous media. Communications in Nonlinear Science and Numerical Simulation, 70, 384-393. 1
[31] Lighthill, M. H., Whitham, G. B. (1961). II-A Theory of Traffic Flow on Long Crowded Roads. Proceedings of the Royal Society of London: Mathematical and physical sciences, 229, 317. 1
[32] Liu, J. G., Yang, X. J., Feng, Y. Y., & Cui, P. (2020). A new perspective to study the third-order modified KDV equation on fractal set. Fractals, 28(06), 2050110. 1
[33] Mohan, R., & Ramadurai, G. (2021). Multi-class traffic flow model based on three dimensional flowconcentration surface. Physica A: Statistical Mechanics and its Applications, 577, 126060. 1
[34] Munjal, P. K., & Pipes, L. A. (1971). Propagation of on-ramp density waves on uniform unidirectional multilane freeways. Transportation science, 5(4), 390-402. 1
[35] Richards, P. I. (1956). Shock waves on the highway. Operations research, 4(1), 42-51. 1
[36] Vikram, D., Mittal, S., & Chakroborty, P. (2022). Stabilized finite element computations with a two-dimensional continuum model for disorderly traffic flow. Computers & Fluids, 232, 105205. 1
[37] Wang, L. F., Yang, X. J., Baleanu, D., Cattani, C., & Zhao, Y. (2014). Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws. In Abstract and Applied Analysis (Vol. 2014, No. 1, p. 635760). Hindawi Publishing Corporation. 1
[38] Yang, A. M., Cattani, C., Zhang, C., Xie, G. N., & Yang, X. J. (2014). Local fractional Fourier series solutions for nonhomogeneous heat equations arising in fractal heat flow with local fractional derivative. Advances in Mechanical Engineering, 6, 514639. 1, 1, 2.8, 2.9
[39] Yang, X. J. (2012). Advanced local fractional calculus and its applications. 1, 2.1, 2.2, 2.3, 2.6, 2.7, 5
[40] Yang, X. J., Baleanu, D., & Tenreiro Machado, J. A. (2013). Systems of NavierStokes equations on Cantor sets. Mathematical Problems in Engineering, 2013(1), 769724. 1, 1
[41] Yang, X. J. (2011). Local Fractional Functional Analysis & Its Applications (Vol. 1). Hong Kong: Asian Academic Publisher Limited. 1, 2.8, 2.9
[42] Zayir, M. Y., & Kamil Jassim, H. (2022). A Fractional Variational Iteration Approach for Solving Time-Fractional Navier-Stokes Equations. Mathematics and Computational Sciences, 3(2), 41-47. 1
[43] Zhang, H. M. (2002). A non-equilibrium traffic model devoid of gas-like behavior. Transportation Research Part B: Methodological, 36(3), 275-290. 1
[44] Zhao, Y., Baleanu, D., Cattani, C., Cheng, D. F., & Yang, X. J. (2013). Maxwells equations on Cantor sets: a local fractional approach. Advances in high energy physics, 2013(1), 686371. 1, 1