Analysis of some Katugampola fractional differential equations with fractional boundary conditions

In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Barbara Łupińska, Ewa Schmeidel
Formato: article
Lenguaje:EN
Publicado: AIMS Press 2021
Materias:
Acceso en línea:https://doaj.org/article/135385de037f4432b47c41ffef15cc43
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
Descripción
Sumario:In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.