Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance

Autor:	Fanmeng Meng, Weihua Jiang, Chunjing Guo, Lina Zhou
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Hilfer fractional derivative Functional boundary conditions Continuation theorem p-Laplacian Resonance Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2022, Iss 1, Pp 1-23 (2022)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-022-01662-6
Popis:	Abstract This article investigates the existence of solutions of mixed Hilfer fractional differential equations with p-Laplacian under the functional boundary conditions at resonance. By defining Banach spaces with appropriate norms, constructing suitable operators, and using the extension of the continuity theorem, some of the current results are extended to the nonlinear situation, and some new existence results of the problem are obtained. Finally, an example is given to verify our main results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/69ca4080aa204dcc9989022a914ac957 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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