Triple Positive Solutions of Boundary Value Problems for High-Order Fractional Differential Equation at Resonance with Singularities

Authors

  • Zhiyuan Liu
  • Shurong Sun

DOI:

https://doi.org/10.12150/jnma.2022.686

Keywords:

Triple positive solution, Fractional differential equation, Resonance, Singularity.

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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Published

2024-04-10

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Issue

Vol. 4 No. 4 (2022)

Section

Articles

How to Cite

Triple Positive Solutions of Boundary Value Problems for High-Order Fractional Differential Equation at Resonance with Singularities. (2024). Journal of Nonlinear Modeling and Analysis, 4(4), 686-700. https://doi.org/10.12150/jnma.2022.686