Existence of positive solutions for singular p-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term
Articles
Limin Guo
Changzhou Institute of Technology
https://orcid.org/0000-0002-4779-4181
Haimei Liu
Changzhou Institute of Technology
Cheng Li
Changzhou Institute of Technology
Jingbo Zhao
Changzhou Institute of Technology
Jiafa Xu
Chongqing Normal University
Published 2023-03-11
https://doi.org/10.15388/namc.2023.28.31728
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Keywords

Hadamard fractional differential equation
spectral analysis
positive solution
infinite points

How to Cite

Guo, L. (2023) “Existence of positive solutions for singular p-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term”, Nonlinear Analysis: Modelling and Control, 28(3), pp. 491–515. doi:10.15388/namc.2023.28.31728.

Abstract

In this paper, based on the properties of Green function and the eigenvalue of a corresponding linear operator, the existence of positive solutions is investigated by spectral analysis for a infinite-points singular p-Laplacian Hadamard fractional differential equation boundary value problem, and an example is given to demonstrate the validity of our main results.

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