Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations

作     者：Azizollah Babakhani 

作者机构：Department of Mathematics Faculty of Basic Science Babol Noshirvani University of Technology Shariati Ave. Babol 47148-71167 Iran 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2017年第33卷第1期

页      面：59-73页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Fractional differential equations formal power series solution. 

摘      要：In this article, we study on the existence of solution for a singularities of a system of nonlinear fractional differential equations （FDE）. We construct a formal power series solution for our considering FDE and prove convergence of formal so- lutions under conditions. -We use the Caputo fractional differential operator and the nonlinearity depends on the fractional derivative of an unknown function.