Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

被引：0
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作者：
Adel Lachouri
Mohammed S. Abdo
Abdelouaheb Ardjouni
Bahaaeldin Abdalla
Thabet Abdeljawad
机构：
[1] Annaba University,Department of Mathematics
[2] Hodeidah University,Department of Mathematics
[3] University of Souk Ahras,Department of Mathematics and Informatics
[4] Prince Sultan University,Department of Mathematics and General Sciences
[5] China Medical University,Department of Medical Research
[6] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional inclusion problem; Hilfer and Erdélyi–Kober fractional operators; Existence; Fractional integral boundary conditions; Convex; Nonconvex; Fixed point theorems; 34A08; 34A12; 34B15;
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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.
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