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

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  • Tamer Nabil

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.

Suggested Citation

  • Tamer Nabil, 2019. "Krasnoselskii N-Tupled Fixed Point Theorem with Applications to Fractional Nonlinear Dynamical System," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-9, March.
    • Handle: RePEc:hin:jnlamp:6763842
    DOI: 10.1155/2019/6763842
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    Cited by:

    1. Chenkuan Li & Reza Saadati & Rekha Srivastava & Joshua Beaudin, 2022. "On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations," Mathematics, MDPI, vol. 10(12), pages 1-14, June.

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