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
相关论文
共 50 条
  • [31] Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
    Agarwal, Ravi P.
    Ahmad, Bashir
    Garout, Doa'a
    Alsaedi, Ahmed
    CHAOS SOLITONS & FRACTALS, 2017, 102 : 149 - 161
  • [32] Existence and multiplicity results for fractional differential inclusions with Dirichlet boundary conditions
    Teng, Kaimin
    Jia, Hongen
    Zhang, Haifeng
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 : 792 - 801
  • [33] Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions
    Peng Zhang
    Yanping Gong
    Boundary Value Problems, 2012
  • [34] Some new existence results for fractional differential inclusions with boundary conditions
    Chang, Yong-Kui
    Nieto, Juan J.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 605 - 609
  • [35] Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions
    Zhang, Peng
    Gong, Yanping
    BOUNDARY VALUE PROBLEMS, 2012,
  • [36] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS
    Jiang, Jiqiang
    Wang, Hongchuan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (06): : 2156 - 2168
  • [37] Existence of Solutions for Caputo Sequential Fractional Differential Inclusions with Nonlocal Generalized Riemann-Liouville Boundary Conditions
    Manigandan, Murugesan
    Shanmugam, Saravanan
    Rhaima, Mohamed
    Sekar, Elango
    FRACTAL AND FRACTIONAL, 2024, 8 (08)
  • [38] Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions
    Al-Shbeil, Isra
    Benali, Abdelkader
    Bouzid, Houari
    Aloraini, Najla
    AIMS MATHEMATICS, 2022, 7 (10): : 18142 - 18157
  • [39] Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions
    Alsaedi, Ahmed
    Albideewi, Amjad F.
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [40] Existence results for higher order fractional differential inclusions with multi-strip fractional integral boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (20) : 1 - 19
12345