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- Title
NONLINEAR NEUTRAL CAPUTO-FRACTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO LOTKA-VOLTERRA NEUTRAL MODEL.
- Authors
Billah Mesmouli, Mouataz; Ardjouni, Abdelouaheb; Djoudi, Ahcene
- Abstract
In this paper, we consider a nonlinear neutral fractional difference equations. By applying Krasnoselskii's fixed point theorem, sufficient conditions for the existence of solutions are established. Also, the uniqueness of a solution is given. As an application of the main theorems, we provide the existence and uniqueness of the discrete fractional Lotka-Volterra model of neutral type. Our main results extend and generalize the results that are obtained in [6].
- Subjects
DIFFERENCE equations; LOTKA-Volterra equations; VOLTERRA equations; NONLINEAR difference equations; CONTRACTION operators
- Publication
Facta Universitatis, Series: Mathematics & Informatics, 2020, Vol 35, Issue 5, p1475
- ISSN
0352-9665
- Publication type
Article
- DOI
10.22190/FUMI2005475M