Laplace-Adomian-Pade技巧求解分数阶Riccati方程（英文）  

The Laplace-Adomian-Pade Technique for the Riccati Equations of Arbitrary Fractional Orders

作　　者：黄蓝蓝[1] 曾凯莉 吴国成[1] 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641112

出　　处：《四川师范大学学报（自然科学版）》2014年第1期77-80,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：supported by the NSFC(11301257);the Research Fund from the Sichuan Provincial Education Department(13ZB0006)~~

摘　　要：将微分方程中的Laplace-Adomian-Pade技巧推广至分数阶情形,解析研究了两类非线性分数阶Ricatti方程,得到了他们的解析近似解.The Laplace-Adomian-Pade method is extended to derive approximate analytical solutions of fractional differential equations.Two Riccati equations of fractional orders are considered and approximate analytical solutions are obtained.

关 键 词：初值问题 Laplace-Adomian-Pade技巧 CAPUTO导数 

分 类 号：O242[理学—计算数学]