Existence of solutions for fractional differential equation with periodic boundary condition

Autor: Xiaoxin Zuo, Weibing Wang
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 4, Pp 6619-6633 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022369?viewType=HTML
Popis: We investigate the existence of solutions for a Caputo fractional differential equation with periodic boundary condition. Using the positivity of Green's function of the corresponding linear equation, we show the existence of positive solutions by using Krasnosel'skii fixed point theorem. Meanwhile, by using monotone iterative method and lower and upper solutions method, we also discuss the existence of extremal solutions for a special case.
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