一类分数阶差分方程非局部边值问题解的存在唯一性  

Existence and Uniqueness of Solutions to Nonlocal Boundary Value Problems for a Class of Fractional Difference Equations

作　　者：吴颖 王良龙[1] WU Ying;WANG Liang-long(School of Mathematical Science,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《佳木斯大学学报（自然科学版）》2020年第4期160-162,165,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金项目(11771001);安徽省质量工程项目(2018zygc107)。

摘　　要：考虑一类任意阶的分数阶差分方程的非局部边值问题.首先给出与论述问题等价的volterra和分方程;然后,在合适的条件下,分别运用Banach压缩映像原理和Brouwer不动点定理,相应获得了解的存在唯一性和解的存在性.This paper is concerned nonlocal boundary value problems of fractional difference equations with arbitrarily order.Volterra summary equation is given,which its solutions are equivalent to ones of nonlocal boundary value problem above-mentioned.Under the suitable conditions,the existence and uniqueness,the existence of solutions to nonlocal boundary value problem of fractional difference equations is obtained by using the principle of Banach Compressed Image and Brouwer fixed point,respectively.

关 键 词：分数阶差分方程 任意阶 非局部边值问题 存在唯一性 

分 类 号：O175.8[理学—数学]