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The existence of positive solutions for high order fractional differential equations with sign changing nonlinearity and parameters
AIMS Mathematics 2023, 8(11): 25990-26006
Published: 15 November 2023
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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.

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