Citation

Kumar D, Tchier F, Singh J, Baleanu D. Entropy (Basel) 2018; 20(4): e259.

Copyright

(Copyright © 2018, MDPI: Multidisciplinary Digital Publications Institute)

DOI

10.3390/e20040259

PMID

33265350

Abstract

In this work, we examine a fractal vehicular traffic flow problem. The partial differential equations describing a fractal vehicular traffic flow are solved with the aid of the local fractional homotopy perturbation Sumudu transform scheme and the local fractional reduced differential transform method. Some illustrative examples are taken to describe the success of the suggested techniques. The results derived with the aid of the suggested schemes reveal that the present schemes are very efficient for obtaining the non-differentiable solution to fractal vehicular traffic flow problem.

Language: en

Keywords

fractal vehicular traffic flow; homotopy perturbation technique; local fractional derivative; local fractional Sumudu transform; reduced differential transform method