Singular boundary value problems on time scales with iterative terms

This paper investigates the existence of multiple positive solutions for a class of singular two-point boundary value problems defined on time scales. Utilizing Hölder’s inequality together with Krasnoselskii’s fixed-point theorem in the context of a Banach space, we establish new sufficient conditions that guarantee the existence of countably infinite positive solutions. To demonstrate the practical applicability of our theoretical findings, we provide a concrete example that illustrates the effectiveness of the proposed approach.

کلیدواژه ها:

Fractional derivative ، Boundary value problem ، kernel ، Fixed-point theorems ، Positive solution