DOAJ Open Access 2023

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

Qing Zhang Chunshuo Li Lina Zhou Qiaoluan Li

Abstrak

Abstract 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.

Topik & Kata Kunci

Analysis

Penulis (4)

Qing Zhang

Chunshuo Li

Lina Zhou

Qiaoluan Li

Format Sitasi

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Zhang, Q., Li, C., Zhou, L., Li, Q. (2023). Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions. https://doi.org/10.1186/s13661-023-01697-3

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1186/s13661-023-01697-3
Akses: Open Access ✓