APPROXIMATE SOLUTIONS FOR DIFFUSION EQUATIONS ON CANTOR SPACE-TIME

被引：0

作者：

Yang, Xiao-Jun ^{[1
,2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

Zhong, Wei-Ping ^{[6
]}

机构：

[1] Zhengzhou Normal Univ, Inst Software Sci, Zhengzhou 450044, Peoples R China

[2] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Peoples R China

[3] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[4] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[5] Inst Space Sci, Magurele, Romania

[6] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221008, Peoples R China

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2013年 / 14卷 / 02期

关键词：

diffusion equations; adomian decomposition method; local fractional operators; approximate solutions; Cantor sets; HOMOTOPY PERTURBATION METHOD; BOUNDARY-VALUE-PROBLEMS; FRACTIONAL DIFFUSION; DECOMPOSITION METHOD; ANOMALOUS DIFFUSION; ORDER; LAPLACE;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we investigate diffusion equations on Cantor space-time and we obtain approximate solutions by using the local fractional Adomian decomposition method derived from the local fractional operators. Analytical solutions are given in terms of the Mittag-Leffler functions defined on Cantor sets.

引用

页码：127 / 133

页数：7

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