Axioms (Oct 2023)

Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem

  • Shahin Moradi,
  • Ghasem A. Afrouzi,
  • John R. Graef

DOI
https://doi.org/10.3390/axioms12100991
Journal volume & issue
Vol. 12, no. 10
p. 991

Abstract

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The existence of at least three weak solutions to a discrete fractional boundary value problem containing a p-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented. The results obtained generalize some recent results on both discrete fractional boundary value problems and p-Laplacian boundary value problems. Examples illustrating the results are given.

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