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In this paper, by using Leray-Schauder fixed-point theorem, Avery-Henderson fixed-point theorem and Leggett-Williams fixed-point theorem, respectively, we investigate the conditions for the existence of at least one, two and three positive solutions to nonlinear second-order impulsive boundary value problems on time scales.Mathematics Subject Classification. Primary 34B18; Secondary 34B37, 34N05.

In this article, we consider a nonlinear higher-order

In this paper, we establish the criteria for the existence and uniqueness of solutions of a three-point boundary value problem for a class of fractional differential equations on time scales. By using some well known fixed point theorems, sufficient conditions for the existence of solutions are established. An illustrative example is also presented.

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