Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms
Articles
Limin Guo
Changzhou Institute of Technology
https://orcid.org/0000-0002-4779-4181
Jingbo Zhao
Changzhou Institute of Technology
Lianying Liao
Changzhou Institute of Technology
Lishan Liu
Qufu Normal University
https://orcid.org/0000-0001-8541-1017
Published 2022-02-22
https://doi.org/10.15388/namc.2022.27.26363
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Keywords

fractional differential model
multiple positive solutions
Avery–Peterson fixed point theorem
singular problem

How to Cite

Guo, L. (2022) “Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms”, Nonlinear Analysis: Modelling and Control, 27(4), pp. 609–629. doi:10.15388/namc.2022.27.26363.

Abstract

Based on properties of Green’s function and by Avery–Peterson fixed point theorem, the existence of multiple positive solutions are obtained for singular p-Laplacian fractional differential equation with infinite-point boundary conditions, and an example is given to demonstrate the validity of our main results.

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