文章基本信息

标题：Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
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作者：JF Gómez-Aguilar ; L Torres ; H Yépez-Martínez 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：173
DOI：10.1186/s13662-016-0908-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper presents the procedure to obtain analytical solutions of Liénard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated analytical solution by using the Laplace homotopy analysis method. Both the efficiency and the accuracy of the method are verified by comparing the obtained solutions with the exact analytical solution. Good agreement between them is confirmed.
关键词：pipelines ; fluid dynamics ; nonlinear oscillators ; Liénard equation ; Laplace homotopy analysis method ; fractional differential coupled equation