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      An Efficient Computational Technique for Fractal Vehicular Traffic Flow

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          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.

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          Most cited references41

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          Homotopy perturbation technique

          Ji-Huan He (1999)
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            On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads

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              Shock Waves on the Highway

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                Author and article information

                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                09 April 2018
                April 2018
                : 20
                : 4
                : 259
                Affiliations
                [1 ]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 notes
                [* ]Correspondence: devendra.maths@ 123456gmail.com ; Tel.: +91-9460905223
                Author information
                https://orcid.org/0000-0001-7855-508X
                Article
                entropy-20-00259
                10.3390/e20040259
                7512774
                f89efd2b-4aed-4f9e-83ed-5895d92008c8
                © 2018 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 13 February 2018
                : 03 April 2018
                Categories
                Article

                fractal vehicular traffic flow,local fractional sumudu transform,homotopy perturbation technique,reduced differential transform method,local fractional derivative

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