Existence and Non-Existence of Positive Solutions for a Discrete Fractional Boundary Value Problem

Authors

  • N. S. Gopal
  • Jagan Mohan Jonnalagadda

DOI:

https://doi.org/10.12150/jnma.2023.432

Keywords:

Nabla fractional difference, dirichlet boundary conditions, boundary value problem, Green's function, fixed-point, positive solution, eigenvalue.

Abstract

In this work, we deal with two-point boundary problem for a finite nabla fractional difference equation. First, we establish an associated Green's function and state some of its properties. Under suitable conditions, we deduce the existence and non-existence of positive solutions to the considered problem. Finally, we construct a few examples to illustrate the established results.

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Published

2024-04-10

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Issue

Vol. 5 No. 3 (2023)

Section

Articles

How to Cite

Existence and Non-Existence of Positive Solutions for a Discrete Fractional Boundary Value Problem. (2024). Journal of Nonlinear Modeling and Analysis, 5(3), 432-445. https://doi.org/10.12150/jnma.2023.432