Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions

被引：2
|
作者：
Zhang, Qing [1 ]
Li, Chunshuo [1 ]
Zhou, Lina [1 ]
Li, Qiaoluan [1 ]
机构：
[1] Hebei Normal Univ, Sch Math Sci, Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050024, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hadamard fractional derivative; Fractional differential inclusion; Existence; Boundary value problem; Fixed point;
D O I：
10.1186/s13661-023-01697-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider fractional neutral differential equations with multipoint boundary value conditions involving Hadamard derivatives and integrals. We obtain the existence and uniqueness of the solution of the equation by using several fixed point theorems, and we also consider the Ulam-Hyers stability of the solution. In addition, we study the differential inclusion problem with multipoint boundary value conditions and prove the existence of the solution of the boundary value problem when the multivalued map has convex values. We also give several examples to illustrate the feasibility of the results.
引用
收藏
页数：26
相关论文
共 50 条
  • [1] Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions
    Qing Zhang
    Chunshuo Li
    Lina Zhou
    Qiaoluan Li
    Boundary Value Problems, 2023
  • [2] On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations
    Alsaedi, Ahmed
    Ahmad, Bashir
    Assolami, Afrah
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order
    Hristova, Snezhana
    Benkerrouche, Amar
    Souid, Mohammed Said
    Hakem, Ali
    SYMMETRY-BASEL, 2021, 13 (05):
  • [4] On the boundary value problems of Hadamard fractional differential equations of variable order
    Benkerrouche, Amar
    Souid, Mohammed Said
    Karapinar, Erdal
    Hakem, Ali
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (03) : 3187 - 3203
  • [5] Boundary Value Problems of Hadamard-Type Fractional Differential Equations and Inclusions with Nonlocal Conditions
    Ahmad B.
    Ntouyas S.K.
    Vietnam Journal of Mathematics, 2017, 45 (3) : 409 - 423
  • [6] HIGHER-ORDER BOUNDARY VALUE PROBLEMS FOR CARATHEODORY DIFFERENTIAL INCLUSIONS
    Aitalioubrahim, M.
    Sajid, S.
    MISKOLC MATHEMATICAL NOTES, 2008, 9 (01) : 7 - 15
  • [7] BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL MULTIPOINT BOUNDARY CONDITIONS
    Guerraiche, Nassim
    Hamani, Samira
    Henderson, Johnny
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2059 - 2072
  • [8] Periodic boundary value problems for higher-order fractional differential systems
    Feckan, Michal
    Marynets, Kateryna
    Wang, JinRong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (10) : 3616 - 3632
  • [9] Multi-point boundary value problems of higher-order nonlinear fractional differential equations
    Yaslan, Ismail
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 337 - 349
  • [10] BOUNDARY VALUE PROBLEMS FOR SEQUENTIAL HILFER FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH INTEGRO-MULTISTRIP-MULTIPOINT BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alotaibi, Fawziah M.
    FIXED POINT THEORY, 2023, 24 (01): : 3 - 22
12345