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

被引：0
|
作者：
Lachouri, Adel [1 ]
Ardjouni, Abdelouaheb [2 ]
Gouri, Nesrine [3 ]
Khelil, Kamel Ali [4 ]
机构：
[1] Annaba Univ, Lab Appl Math, Annaba, Algeria
[2] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria
[3] Annaba Univ, Lab Math Modeling & Numer Simulat, Annaba, Algeria
[4] Univ 8 May 1945 Guelma, Lab Anal & Control Differential Equat, Guelma, Algeria
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2022年 / 16卷 / 02期
关键词：
Fractional differential inclusions; xi-Hilfer fractional derivatives; Existence; Convex; Nonconvex; Fixed point theorem; CALCULUS; OPERATORS;
D O I：
10.1007/s40863-021-00273-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：1261 / 1279
页数：19
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