@Article{JNMA-5-3, author = {S., N., Gopal and Mohan, Jonnalagadda, Jagan}, title = {Existence and Non-Existence of Positive Solutions for a Discrete Fractional Boundary Value Problem}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {3}, pages = {432--445}, 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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.432}, url = {https://global-sci.com/article/87880/existence-and-non-existence-of-positive-solutions-for-a-discrete-fractional-boundary-value-problem} }