Triple Positive Solutions of Boundary Value Problems for High-Order Fractional Differential Equation at Resonance with Singularities
Year: 2022
Author: Zhiyuan Liu, Shurong Sun
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 686–700
Abstract
In this paper, we investigate the existence of triple positive solutions of boundary value problems for high-order fractional differential equation at resonance with singularities by using the fixed point index theory and the Leggett-Williams theorem. The spectral theory and some new height functions are also employed to establish the existence of triple positive solutions. The nonlinearity involved is arbitrary fractional derivative, and permits singularity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.686
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 686–700
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Triple positive solution Fractional differential equation Resonance Singularity.