Two sequential fractional hybrid differential inclusions

Advances in Difference Equations

article

Mohammadi, Hakimeh¹  Rezapour, Shahram²  Etemad, Sina⁵  Baleanu, Dumitru⁶ 

[1] Department of Mathematics, Miandoab Branch, Islamic Azad University;Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Azarbaijan Shahid Madani University;Department of Mathematics, Cankaya University;Institute of Space Sciences

关键词: α;    ψ -contraction;    Endpoint;    Sequential hybrid inclusion problem;    The Caputo derivative;   

DOI  :  10.1186/s13662-020-02850-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions. In this direction, we employ various novel analytical techniques based on α-ψ-contractive mappings, endpoints, and the fixed points of the product operators to obtain the main results. Finally, we provide two examples to illustrate our main results.

【 授权许可】

CC BY