Kumar Devendra, Tchier Fairouz, Singh Jagdev, Baleanu Dumitru
Department of Mathematics, JECRC University, Jaipur 303905, India.
Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia.
Entropy (Basel). 2018 Apr 9;20(4):259. doi: 10.3390/e20040259.
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.
在这项工作中，我们研究了分形车辆交通流问题。借助局部分数阶同伦摄动Sumudu变换方法和局部分数阶约化微分变换方法，求解了描述分形车辆交通流的偏微分方程。通过一些示例来说明所提技术的有效性。借助所提方法得到的结果表明，当前方法对于获取分形车辆交通流问题的不可微解非常有效。
