On Nonlinear Fractional Difference Equation with Delay and Impulses

On Nonlinear Fractional Difference Equation with Delay and Impulses

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....

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Veröffentlicht in:Symmetry (Basel) 2020-06, Vol.12 (6), p.980
Hauptverfasser: Ouncharoen, Rujira, Chasreechai, Saowaluck, Sitthiwirattham, Thanin
Format: Artikel
Sprache:eng
Schlagworte:
delay
existence
fractional difference equations
impulses
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Beschreibung
Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12060980