J. Nonl. Mod. Anal., 5 (2023), pp. 432-445.
Published online: 2023-08
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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 = {http://global-sci.org/intro/article_detail/jnma/21944.html} }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.