Approximate solutions to fractional differential equations  

作　　者：Yue LIU Zhen ZHAO Yanni ZHANG Jing PANG 

机构地区：[1]College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China [2]Department of Mathematics and Computer Science,Hetao College,Bayannur 015000,Inner Mongolia Autonomous Region,China [3]Inner Mongolia Key Laboratory of Statistical Analysis Theory for Life Data and Neural Network Modeling,Hohhot 010051,China [4]College of Mathematics and Statistics,Ningbo University,Ningbo 315211,Zhejiang Province,China [5]College of Science,Liaoning University of Technology,Jinzhou 121001,Liaoning Province,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2023年第10期1791-1802,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10561151);the Basic Science Research Fund in the Universities Directly Under the Inner Mongolia Autonomous Region(No. JY20220003);the Scientific Research Project of Hetao College of China (No. HYZQ202122)。

摘　　要：In this paper, the time-fractional coupled viscous Burgers' equation(CVBE)and Drinfeld-Sokolov-Wilson equation(DSWE) are solved by the Sawi transform coupled homotopy perturbation method(HPM). The approximate series solutions to these two equations are obtained. Meanwhile, the absolute error between the approximate solution given in this paper and the exact solution given in the literature is analyzed. By comparison of the graphs of the function when the fractional order α takes different values, the properties of the equations are given as a conclusion.

关 键 词：Caputo fractional derivative coupled viscous Burgers'equation(CVBE) Drinfeld-Sokolov-Wilson equation(DSWE) Sawi transform homotopy perturbation method(HPM) 

分 类 号：O193[理学—数学]