@article{Zhang2023, 
author = {Luchao Zhang and Xiping Liu and Zhensheng Yu and Mei Jia},
title = {The existence of positive solutions for high order fractional differential equations with sign changing nonlinearity and parameters},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {25990-26006},
keywords = {nonlinear fractional differential equations, Riemann-Liouville derivatives, boundary value problems, sign changing nonlinearity, positive solutions},
url = {https://www.sciopen.com/article/10.3934/math.20231324},
doi = {10.3934/math.20231324},
abstract = {By constructing an auxiliary boundary value problem, the difficulty caused by sign changing nonlinearity terms is overcome by means of the linear superposition principle. Using the Guo-Krasnosel'skii fixed point theorem, the results of the existence of positive solutions for boundary value problems of high order fractional differential equation are obtained in different parameter intervals under a more relaxed condition compared with the existing literature. As an application, we give two examples to illustrate our results.}
}