Analysis of some Katugampola fractional differential equations with fractional boundary conditions

Autor: Barbara Łupińska, Ewa Schmeidel
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7269-7279 (2021)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2021359?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals