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

Rujira Ouncharoen, Saowaluck Chasreechai and Thanin Sitthiwirattham
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Rujira Ouncharoen: Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Saowaluck Chasreechai: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Thanin Sitthiwirattham: Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

Mathematics, 2020, vol. 8, issue 5, 1-17

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.

Keywords: existence; impulse; Ulam–Hyers stability; fractional Caputo difference equations; boundary value problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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