文章基本信息

标题：On fractional hybrid and non-hybrid multi-term integro-differential inclusions with three-point integral hybrid boundary conditions
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作者：Sina Etemad ; Shahram Rezapour ; Mohammad Esmael Samei 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：2020
卷号：2020
期号：1
页码：1-25
DOI：10.1186/s13662-020-02627-8
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the existence of solutions for two nonlinear fractional multi-term integro-differential inclusions in two hybrid and non-hybrid versions. The boundary value conditions are in the form of three-point integral hybrid conditions. In this way, we define a new operator based on the integral solution of the given boundary value inclusion problem and then we use assumptions of a Dhage’s fixed point result for this fractional operator in the hybrid case. Also, the approximate endpoint property is applied for the corresponding set-valued maps in the non-hybrid case. Finally, we provide two examples to illustrate our main results.
关键词：Approximate endpoint property;Boundary value problem;Fractional hybrid integro-differential inclusion;Dhage fixed point theorem;