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

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–Hye...

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Bibliographic Details
Published in:Boundary value problems 2023-02, Vol.2023 (1), p.11-26, Article 11
Main Authors: Zhang, Qing, Li, Chunshuo, Zhou, Lina, Li, Qiaoluan
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Banach spaces
Boundary value problem
Boundary value problems
Calculus
Computational mathematics
Control theory
Difference and Functional Equations
Differential equations
Existence
Fixed point
Fixed points (mathematics)
Fractional differential inclusion
Hadamard fractional derivative
Inclusions
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Theorems
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Summary: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.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-023-01697-3