一类具有p-Laplacian算子的非线性分数阶微分方程m点边值问题解的存在性  

Existence of Solutions for m-Point Boundary Value Problems of Nonlinear Fractional Differential Equations with p-Laplacian Operator

作　　者：吕志伟[1,2] 郑旭东[2] 

机构地区：[1]郑州大学数学系,河南郑州450001 [2]安阳工学院数理学院,河南安阳455000

出　　处：《数学的实践与认识》2013年第13期237-244,共8页Mathematics in Practice and Theory

基　　金：河南省青年骨干教师基金(2011GGJS-213);国家自然科学基金(11271336)

摘　　要：讨论具有p-Laplacian算子的非线性分数阶微分方程m点边值问题的解的存在性,研究结果是建立在不动点定理和压缩映射原理基础上.此外给出两个例子来说明结果.In this paper, we discuss the existence of solutions for m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator, our results are based on fixed point theorem and contraction mapping principle. Furthermore, two ex- amples are also given to illustrate the results.

关 键 词：分数阶微分方程 M点边值问题 P-LAPLACIAN算子 

分 类 号：O175.8[理学—数学]