Existence and stability analysis for fractional impulsive caputo difference-sum equations with periodic boundary condition

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2020
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MDPI AG
Journal Title
Existence and stability analysis for fractional impulsive caputo difference-sum equations with periodic boundary condition
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Abstract
In this paper, by using the Banach contraction principle and the Schauder's fixed point theorem, we investigate existence results for a fractional impulsive sum-difference equations with periodic boundary conditions. Moreover, we also establish different kinds of Ulam stability for this problem. An example is also constructed to demonstrate the importance of these results. © 2020 by the authors.
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