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

Autor:	Qing Zhang, Chunshuo Li, Lina Zhou, Qiaoluan Li
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Hadamard fractional derivative Fractional differential inclusion Existence Boundary value problem Fixed point Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2023, Iss 1, Pp 1-26 (2023)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-023-01697-3
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/004434bf948b4343834f7573f5f6cc91 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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