Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

被引：32

作者：

Jassim, Hassan Kamil ^{[1
]}

Unlu, Canan ^{[2
]}

Moshokoa, Seithuti Philemon ^{[3
]}

Khalique, Chaudry Masood ^{[4
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

[3] Tshwane Univ Technol, Fac Sci, Dept Math & Stat, ZA-0001 Pretoria, South Africa

[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, ZA-2735 Mmabatho, South Africa

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

Wave equations;

D O I：

10.1155/2015/309870

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

引用

页数：9

共 50 条

[1] LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR DIFFUSION AND WAVE EQUATIONS ON CANTOR SETS
Yang, Xiao-Jun
Baleanu, Dumitru
Khan, Yasir
Mohyud-Din, S. T.
ROMANIAN JOURNAL OF PHYSICS, 2014, 59 (1-2): : 36 - 48
[2] Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators
Baleanu, Dumitru
Tenreiro Machado, J. A.
Cattani, Carlo
Baleanu, Mihaela Cristina
Yang, Xiao-Jun
ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional Operators
Yang, Yong-Ju
Baleanu, Dumitru
Yang, Xiao-Jun
ABSTRACT AND APPLIED ANALYSIS, 2013,
[4] Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators
Jafari, Hossein
Jassim, Hassan Kamil
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 1055 - 1065
[5] Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets
Yang, Ai-Min
Yang, Xiao-Jun
Li, Zheng-Biao
ABSTRACT AND APPLIED ANALYSIS, 2013,
[6] Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets
Cao, Yuan
Ma, Wei-Gang
Ma, Lian-Chuan
ABSTRACT AND APPLIED ANALYSIS, 2014,
[7] Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative
Yang, Ai-Min
Li, Jie
Srivastava, H. M.
Xie, Gong-Nan
Yang, Xiao-Jun
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[8] On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method
Goswami, Pranay
Alqahtani, Rubayyi T.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
[9] Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets
Maitama, Shehu
Zhao, Weidong
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02):
[10] Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets
Shehu Maitama
Weidong Zhao
Computational and Applied Mathematics, 2019, 38

← 1 2 3 4 5 →