Local fractional analytical methods for solving wave equations with local fractional derivative

被引：22
作者：
Hemeda, A. A. [1 ]
Eladdad, E. E. [1 ]
Lairje, I. A. [1 ]
机构：
[1] Tanta Univ, Dept Math, Fac Sci, Tanta 31527, Egypt
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 06期
关键词：
local fractional integral iterative method; local fractional new iterative method; local fractional laplace equation; local fractional wave equations; VARIATIONAL ITERATION METHOD; HEAT-CONDUCTION; SPACE; DIFFUSION;
D O I：
10.1002/mma.4756
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the local fractional integral iterative method and the local fractional new iterative method for solving the local fractional differential equations. Also, we perform a comparison between the results obtained by these 2 local fractional methods with the results obtained by some other local fractional methods. The obtained results illustrate the significant features of the 2 methods that are both very effective and straightforward for solving the differential equations with local fractional derivative compared with the other local fractional methods.
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页码：2515 / 2529
页数：15
相关论文
共 39 条
  • [1] [Anonymous], DISC COMPLEX NONLINE
  • [2] [Anonymous], ADV MATH PHYS
  • [3] [Anonymous], 1978, INTRO FUNCTIONAL ANA
  • [4] [Anonymous], 2015, LOCAL FRACTIONAL INT
  • [5] [Anonymous], 2014, Abstr. Appl. Anal.
  • [6] [Anonymous], 2015, INFORM TOKYO
  • [7] [Anonymous], ADV SCI LETT
  • [8] [Anonymous], 2012, Series on Complexity, Nonlinearity and Chaos, DOI 10.1142/10044
  • [9] [Anonymous], 1999, Fractional Differential Equations
  • [10] [Anonymous], 2006, Journal of the Electrochemical Society
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