A Survey on Fractional Asymptotic Expansion Method: A Forgotten Theory

被引：0
作者：
Khosro Sayevand
José A. Tenreiro Machado
机构：
[1] Faculty of Mathematical Sciences Malayer University,Polytechnic of Porto Dept. of Electrical Engineering
[2] Institute of Engineering,undefined
来源：
Fractional Calculus and Applied Analysis | 2019年 / 22卷
关键词：
Primary 34A08; Secondary 49S05; asymptotic expansion; boundary value problem; fractional derivative; outer; inner and composite expansion; Van Dyke’s matching principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This survey applies the fractional asymptotic expansion to analyze some differential equations with boundary value problem. The method leads to the approximate solution in a wide range of applications, and avoids the limitations of algorithms based on Taylor expansion and the perturbation technique. The new method gives approximation series efficiently and overcomes the problems revealed by other analytical schemes that were proposed in the literature.
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页码：1165 / 1176
页数：11
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