文章基本信息

标题：A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
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作者：Mei Jia ; Lin Li ; Xiping Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-26
DOI：10.1186/s13662-019-2181-6
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at least one, two and the nonexistence of positive solutions are obtained. The results we obtain show the influence of parameter λ and parameter a on the existence of positive solutions. Finally, some examples are given to illustrate our main results.
关键词：34A08;34B09;34B18;Riemann;Liouville fractional derivative;Riemann;Stieltjes integral boundary conditions;Disturbance parameter;Fixed point theorem