Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters

Abstract The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in term...

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Auteurs principaux: Yang Chen, Hongyu Li
Format: article
Langue:EN
Publié: SpringerOpen 2021
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Accès en ligne:https://doaj.org/article/2b9a607bc5d8413395e920f16713012d
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Résumé:Abstract The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in terms of different values of parameters. Two examples are given to illustrate the main results.