Existence and uniqueness of mild solutions for a fractional differential equation under Sturm-Liouville boundary conditions when the data function is of Lipschitzian type

Autor: Harjani Jackie, López Belen, Sadarangani Kishin
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Demonstratio Mathematica, Vol 53, Iss 1, Pp 167-173 (2020)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2020-0014
Popis: In this article, we present a sufficient condition about the length of the interval for the existence and uniqueness of mild solutions to a fractional boundary value problem with Sturm-Liouville boundary conditions when the data function is of Lipschitzian type. Moreover, we present an application of our result to the eigenvalues problem and its connection with a Lyapunov-type inequality.
Databáze: Directory of Open Access Journals