Nonlinear Delay Fractional Difference Equations With Applications on Discrete Fractional Lotka–volterra Competition Model
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Abstract
The existence and uniqueness of solutions for nonlinear delay fractional difference equations are investigated in this paper. We prove the main results by employing the theorems of Krasnoselskii’s Fixed Point and Arzela–Ascoli. As an application of the main theorem, we provide an existence result on the discrete fractional Lotka–Volterra model. ©2018 by Eudoxus Press, LLC. All rights reserved.
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Keywords
Arzela-Ascoli’S Theorem, Discrete Fractional Lotka–Volterra Model, Existence And Uniqueness, Fractional Difference Equations, Krasnoselskii Fixed Point Theorem
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Citation
Alzabut, J.; Abdeljawad, Thabet; Baleanu, Dumitru (2018). "Nonlinear delay fractional difference equations with applications on discrete fractional lotka–volterra competition model", Journal of Computational Analysis and Applications, Vol. 25, No. 5, pp. 889-898.
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Volume
25
Issue
5
Start Page
889
End Page
898
