期刊论文详细信息
Advances in Difference Equations | |
Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition | |
article | |
Lachouri, Adel1  Abdo, Mohammed S.2  Ardjouni, Abdelouaheb3  Abdalla, Bahaaeldin4  Abdeljawad, Thabet4  | |
[1] Department of Mathematics, Annaba University;Department of Mathematics, Hodeidah University;Department of Mathematics and Informatics, University of Souk Ahras;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University | |
关键词: Fractional inclusion problem; Hilfer and Erdélyi–Kober fractional operators; Existence; Fractional integral boundary conditions; Convex; Nonconvex; Fixed point theorems; | |
DOI : 10.1186/s13662-021-03397-7 | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC). Both cases of convex- and nonconvex-valued right-hand side are considered. Our obtained results are new in the framework of Hilfer fractional derivative and Erdélyi–Kober fractional integral with FIBC via the fixed point theorems (FPTs) for a set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202108070004839ZK.pdf | 1703KB | download |