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Existence and Stability Analysis for Fractional Impulsive Caputo Difference-Sum Equations with Periodic Boundary Condition

1
Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
2
Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
3
Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(5), 843; https://doi.org/10.3390/math8050843
Received: 6 May 2020 / Revised: 20 May 2020 / Accepted: 21 May 2020 / Published: 22 May 2020
(This article belongs to the Special Issue Stability Analysis of Fractional Systems)
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. View Full-Text
Keywords: existence; impulse; Ulam–Hyers stability; fractional Caputo difference equations; boundary value problem existence; impulse; Ulam–Hyers stability; fractional Caputo difference equations; boundary value problem
MDPI and ACS Style

Ouncharoen, R.; Chasreechai, S.; Sitthiwirattham, T. Existence and Stability Analysis for Fractional Impulsive Caputo Difference-Sum Equations with Periodic Boundary Condition. Mathematics 2020, 8, 843.

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