Existence and Multiplicity of Positive Solutions for Discrete Fractional Boundary Problems via Fixed Point Index Methods

Jagan Mohan Jonnalagadda and Harikrishnan Panackal

Journal of Mathematics, 2026, vol. 2026, 1-11

Abstract: In this article, by using the fixed point index theory, we investigate the existence of positive solutions for Riemann–Liouville nabla fractional difference equations satisfying two distinct types of boundary conditions. First, we construct the Green functions carefully and evaluate their bounds. Next, we obtain some verifiable criteria for the existence of positive solutions by using the Green functions and the evaluations of bounds. 34A08, 39A12, 39A27.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2850051

DOI: 10.1155/jom/2850051

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