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

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

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...

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Bibliographic Details
Published in:Advances in mathematical physics Vol. 2019; no. 2019; pp. 1 - 9
Main Author: Nabil, Tamer
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01-01-2019
Hindawi
Hindawi Limited
Subjects:
Dynamical systems
Estimating techniques
Fixed points (mathematics)
Integral equations
Mathematical problems
Nonlinear equations
Theorems
Online Access:Get full text
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Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2019/6763842