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Article

On Nonlinear Fractional Difference Equation with Delay and Impulses

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.
Symmetry 2020, 12(6), 980; https://doi.org/10.3390/sym12060980
Received: 12 May 2020 / Revised: 29 May 2020 / Accepted: 5 June 2020 / Published: 8 June 2020
In this paper, we establish the existence results for a nonlinear fractional difference equation with delay and impulses. The Banach and Schauder’s fixed point theorems are employed as tools to study the existence of its solutions. We obtain the theorems showing the conditions for existence results. Finally, we provide an example to show the applicability of our results. View Full-Text
Keywords: fractional difference equations; delay; impulses; existence fractional difference equations; delay; impulses; existence
MDPI and ACS Style

Ouncharoen, R.; Chasreechai, S.; Sitthiwirattham, T. On Nonlinear Fractional Difference Equation with Delay and Impulses. Symmetry 2020, 12, 980. https://doi.org/10.3390/sym12060980

AMA Style

Ouncharoen R, Chasreechai S, Sitthiwirattham T. On Nonlinear Fractional Difference Equation with Delay and Impulses. Symmetry. 2020; 12(6):980. https://doi.org/10.3390/sym12060980

Chicago/Turabian Style

Ouncharoen, Rujira, Saowaluck Chasreechai, and Thanin Sitthiwirattham. 2020. "On Nonlinear Fractional Difference Equation with Delay and Impulses" Symmetry 12, no. 6: 980. https://doi.org/10.3390/sym12060980

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