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Open AccessArticle

An Efficient Computational Technique for Fractal Vehicular Traffic Flow

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Department of Mathematics, JECRC University, Jaipur 303905, India
2
Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
3
Department of Mathematics, Cankaya University, Balgat, Ankara 06530, Turkey
4
Institute of Space Sciences, Magurele-Bucharest 077125, Romania
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(4), 259; https://doi.org/10.3390/e20040259
Received: 13 February 2018 / Revised: 23 March 2018 / Accepted: 3 April 2018 / Published: 9 April 2018
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory III)
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. View Full-Text
Keywords: fractal vehicular traffic flow; local fractional Sumudu transform; homotopy perturbation technique; reduced differential transform method; local fractional derivative fractal vehicular traffic flow; local fractional Sumudu transform; homotopy perturbation technique; reduced differential transform method; local fractional derivative
MDPI and ACS Style

Kumar, D.; Tchier, F.; Singh, J.; Baleanu, D. An Efficient Computational Technique for Fractal Vehicular Traffic Flow. Entropy 2018, 20, 259.

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