一类非线性Caputo型分数阶微分方程解的存在性  

Existence of solutions for a nonlinear Caputo fractionalorder differential equations

作　　者：苏莹[1] 薛益民[1] SU Ying;XUE Yi-min(School of Mathematics and Physical Science,Xuzhou University of Technology,Xuzhou 221018)

机构地区：[1]徐州工程学院数学与物理科学学院,江苏徐州221018

出　　处：《兰州理工大学学报》2018年第2期154-157,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11301454);国家自然科学数学天元基金(11526177);江苏省自然科学基金(BK20151160);江苏省高校自然科学基金(14KJB110025);江苏省六大人才高峰项目(2013-JY-003)

摘　　要：研究Banach空间中一类非线性分数阶微分方程解的存在性.利用Krasnosel’skii不动点定理和LeraySchauder度理论,得到了该边值问题解的存在性定理.作为主要结论的应用,给出两个例子验证了所得结果.The existence of solutions to a class of nonlinear fractional-order differential equations was studied.The existence theorem of solutions to integral boundary-value problem was obtained by using Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory.As an application of principal conclusion,two examples were given to verify the result obtained.

关 键 词：分数阶微分方程 边值问题 Krasnosel’skii不动点定理 LERAY-SCHAUDER度理论 

分 类 号：O175[理学—数学]