Approximate analytical solutions of Goursat problem within local fractional operators

被引：22

作者：

Baleanu, Dumitru ^{[1
]}

Jassim, Hassan Kamil ^{[2
]}

Al Qurashi, Maysaa ^{[3
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey

[2] Univ Thi Qar, Fac Educ Pure Sci, Dept Math, Nasiriyah, Iraq

[3] King Saud Univ, Coll Sci, Dept Math, Ryad, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Goursat problem; local fractional differential transform method; local fractional decomposition method; analytical solutions; local fractional derivative operators;

D O I：

10.22436/jnsa.009.06.118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local fractional differential transform method (LFDTM) and local fractional decomposition method (LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local fractional derivative operators. The approximate analytical solution of this problem is calculated in form of a series with easily computable components. Examples are studied in order to show the accuracy and reliability of presented methods. We demonstrate that the two approaches are very effective and convenient for finding the analytical solutions of partial differential equations with local fractional derivative operators. (C) 2016 All rights reserved.

引用

页码：4829 / 4837

页数：9

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