Fokker Planck equation;
Series expansion method;
Reduce differential transform method;
Local fractional derivative operators;
D O I:
10.1016/j.physa.2020.124525
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
The key aim of the present study is to compute the solution of local fractional Fokker Planck equation (LFFPE) on the Cantor set. We perform a comparison between the reduced differential transform method (RDTM) and local fractional series expansion method (LFSEM) employed to the LFFPE. The operators are considered in the local nature. The outcomes demonstrate the important characteristic of the two techniques which are very successful and simple to solve the differential equations having fractional derivative operator of local nature. (C) 2020 Published by Elsevier B.V.
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Quanzhou Normal Univ, Dept Math, Quanzhou 362000, Peoples R ChinaQueensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
Chen, S.
Liu, F.
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机构:
Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R ChinaQueensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
Liu, F.
Zhuang, P.
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机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R ChinaQueensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia
Zhuang, P.
Anh, V.
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机构:
Queensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, AustraliaQueensland Univ Technol, Sch Math Sci, Brisbane, Qld 4001, Australia