Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions

被引：0
作者：
Adel Lachouri
Abdelouaheb Ardjouni
Nesrine Gouri
Kamel Ali Khelil
机构：
[1] Annaba University,Laboratory of Applied Mathematics
[2] University of Souk Ahras,Department of Mathematics and Informatics
[3] Annaba University,Laboratory of Mathematical Modeling and Numerical Simulation
[4] University of 8 May 1945 Guelma,Laboratory of Analysis and Control of Differential Equations
来源：
São Paulo Journal of Mathematical Sciences | 2022年 / 16卷
关键词：
Fractional differential inclusions; -Hilfer fractional derivatives; Existence; Convex; Nonconvex; Fixed point theorem; 34A08; 34A12; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the existence of solutions for a sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions. Both cases of convex valued and nonconvex valued right-hand side are considered. Our obtained results are recent in the frame of a generalized Hilfer fractional derivative with multi-point boundary conditions via the fixed point theorems for set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented.
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页码：1261 / 1279
页数：18
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