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.
机构:
Beijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R ChinaBeijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R China
Yang, Lixing
Ma, Wei
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Hong Kong Polytech Univ, Dept Civil & Environm Engn, Kowloon, Hong Kong 999077, Peoples R ChinaBeijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R China
Ma, Wei
Li, Shukai
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Beijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R ChinaBeijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R China
Li, Shukai
Gao, Ziyou
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Beijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R ChinaBeijing Jiaotong Univ, Sch Syst Sci, 3 Shangyuancun Haidian Dist, Beijing 100044, Peoples R China
机构:
Wuzhou Univ, Lab Complex Syst & Numer Computat, Wuzhou 543002, Peoples R ChinaWuzhou Univ, Lab Complex Syst & Numer Computat, Wuzhou 543002, Peoples R China
Shi, Wei
Lu, Wei-Zhen
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City Univ Hong Kong, Dept Architecture & Civil Engn, Hong Kong, Hong Kong, Peoples R ChinaWuzhou Univ, Lab Complex Syst & Numer Computat, Wuzhou 543002, Peoples R China
Lu, Wei-Zhen
Xue, Yu
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Guangxi Univ, Coll Phys Sci & Technol, Nanning 530004, Peoples R ChinaWuzhou Univ, Lab Complex Syst & Numer Computat, Wuzhou 543002, Peoples R China
Xue, Yu
He, Hong-Di
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Shanghai Maritime Univ, Logist Res Ctr, Shanghai 200135, Peoples R ChinaWuzhou Univ, Lab Complex Syst & Numer Computat, Wuzhou 543002, Peoples R China