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

页码：1261 / 1279

页数：19

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