On the positive solutions for IBVP of conformable differential equations

Autor: Mouataz Billah Mesmouli, Taher S. Hassan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 10, Pp 24740-24750 (2023)
Druh dokumentu: article
ISSN: 20231261
2473-6988
DOI: 10.3934/math.20231261?viewType=HTML
Popis: A problem with integral boundary conditions (IBVP) involving conformable fractional derivatives is considered in this article. The upper and lower solutions technique is used to discuss the existence and uniqueness of positive solutions. The fixed point Theorem of Schauder proves the existence of positive solutions, and the fixed point Theorem of Banach proves the uniqueness of solutions. Our results are illustrated by an example.
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