Research article

The existence of positive solutions for high order fractional differential equations with sign changing nonlinearity and parameters

  • Received: 15 June 2023 Revised: 17 July 2023 Accepted: 18 July 2023 Published: 08 September 2023
  • MSC : 34A08, 34A12, 34B18

  • 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.

    Citation: Luchao Zhang, Xiping Liu, Zhensheng Yu, Mei Jia. The existence of positive solutions for high order fractional differential equations with sign changing nonlinearity and parameters[J]. AIMS Mathematics, 2023, 8(11): 25990-26006. doi: 10.3934/math.20231324

    Related Papers:

  • 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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