Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative

Autor: Wei Zhang, Wenbin Liu
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-22 (2019)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-019-2050-6
Popis: Abstract This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential Hilfer fractional differential equation with two types of multi-point boundary conditions. Our results generalize and compliment the existing results in the literature.
Databáze: Directory of Open Access Journals
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