TY - JOUR
T1 - Existence and Non-Existence of Positive Solutions for a Discrete Fractional Boundary Value Problem
AU - Gopal , N. S.
AU - Jonnalagadda , Jagan Mohan
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 432
EP - 445
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.432
UR - https://global-sci.org/intro/article_detail/jnma/21944.html
KW - Nabla fractional difference, dirichlet boundary conditions, boundary value problem, Green's function, fixed-point, positive solution, eigenvalue.
AB - <p style="text-align: justify;">In this work, we deal with two-point boundary problem for a finite
nabla fractional difference equation. First, we establish an associated Green&#39;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.</p>