一类非线性分数阶微分方程耦合系统边值问题解的存在性  

Existence of Solutions to Boundary Value Problems for a Class of Coupled Systems of Nonlinear Fractional Differential Equations

作　　者：张潇峰 封汉颍[1] 

机构地区：[1]军械工程学院基础部,石家庄050003

出　　处：《安徽工业大学学报（自然科学版）》2017年第2期193-199,共7页Journal of Anhui University of Technology（Natural Science）

基　　金：国家自然科学基金项目(11371368);河北省青年科学基金项目(A2014506016)

摘　　要：研究一类非线性分数阶微分方程耦合系统的两点边值问题,运用Schauder不动点定理证明解的存在性,再利用Adomian分解方法求出该边值问题的近似解,并给出一个数值例子说明该主要结果的应用。A two-point boundary value problem for a class of coupled systems of nonlinear fractional differential equations was investigated, with Schauder’s fixed point theorem, an existence result of solutions was verified, and an approximate solution of the boundary value problem was obtained by using Adomian decomposition method. In addition, a numerical example is presented to demonstrate the application of the main result.

关 键 词：分数阶导数 边值问题 SCHAUDER不动点定理 ADOMIAN分解法 

分 类 号：O175.8[理学—数学]