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.
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页数：26
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