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

Rujira OuncharoenSaowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102020Mathematics2227739010.3390/MATH80508432-s2.0-85087044177https://repository.dusit.ac.th//handle/123456789/4747In 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.All Open Access; Gold Open AccessBoundary value problemExistenceFractional caputo difference equationsImpulseUlam-Hyers stabilityExistence and stability analysis for fractional impulsive caputo difference-sum equations with periodic boundary conditionArticleScopus