Positive Solutions for Hilfer Fractional Differential Equation Boundary Value Problems at Resonance

Authors

  • Zhiyuan Liu
  • Shurong Sun

DOI:

https://doi.org/10.12150/jnma.2023.695

Keywords:

Fractional differential equation, resonance, Hilfer fractional derivative, positive solution, fixed point index.

Abstract

In this paper, we investigate the positive solutions for Hilfer fractional differential equation boundary value problems at resonance. First, we give the expression of the solution with Mittag-Leffler function. Next, we obtain the existence of the positive solutions by using fixed point index theorem. Finally, we give relevant examples to prove our main results.

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Published

2024-04-10

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Issue

Vol. 5 No. 4 (2023)

Section

Articles

How to Cite

Positive Solutions for Hilfer Fractional Differential Equation Boundary Value Problems at Resonance. (2024). Journal of Nonlinear Modeling and Analysis, 5(4), 695-707. https://doi.org/10.12150/jnma.2023.695