Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative

A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is the ψ-Caputo fraction...

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Detalles Bibliográficos
Autores principales: Samet, Bessem, Aydi, Hassen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208624/
https://www.ncbi.nlm.nih.gov/pubmed/30839796
http://dx.doi.org/10.1186/s13660-018-1850-4
Descripción
Sumario:A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is the ψ-Caputo fractional derivative of order α, and [Formula: see text] is a given function. Next, we give an application of the obtained inequality to the corresponding eigenvalue problem.

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