Krasnoselskii N‐Tupled Fixed Point Theorem with Applications to Fractional Nonlinear Dynamical System

Tamer Nabil

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: In this paper, N‐tupled fixed point theorems for two monotone nondecreasing mappings in complete normed linear space are established. The extension of Krasnoseskii fixed point theorem for a version of N‐tupled fixed point is given. Our theoretical results are applied to prove the existence of a mild solution of the system of N‐nonlinear fractional evolution equations. Finally, an example of a nonlinear fractional dynamical system is given to illustrate the results.

Date: 2019
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https://doi.org/10.1155/2019/6763842

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:6763842

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