具非线性项变号的分数阶微分方程非齐次边值问题正解的存在性  

Existence of Positive Solutions for Nonhomogeneous Boundary Value Problems of Fractional Differential Equations with Sign Changing Nonlinearities

作　　者：李琳 贾梅[1] 刘锡平[1] 宋君秋 LI Lin;JIA Mei;LIU Xiping;SONG Junqiu(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《吉林大学学报（理学版）》2019年第2期219-228,共10页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171220)

摘　　要：考虑一类具非线性项变号的分数阶微分方程非齐次积分边值问题正解的存在性,用锥拉伸与锥压缩不动点定理,建立并证明该边值问题正解的存在性定理,并给出实例说明所得结论的合理性.We considered the existence of positive solutions for a class of nonhomogeneous integral boundary value problems of fractional differential equations with sign changing nonlinearities.By using fixed point theorems of cone expansion and cone compression,we established and proved the existence theorems of positive solutions for the boundary value problem,and gave some examples to illustrate the rationality of the conclusions.

关 键 词：Riemann-Liouville分数阶导数 Riemann-Stieltjes积分边界条件 非线性项变号 不动点定理 

分 类 号：O175.8[理学—数学]