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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, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:6763842
    DOI: 10.1155/2019/6763842
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    References listed on IDEAS

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    1. Liang, Jin & Yang, He, 2015. "Controllability of fractional integro-differential evolution equations with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 20-29.
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    Cited by:

    1. Aynur Ali & Miroslav Hristov & Atanas Ilchev & Hristina Kulina & Boyan Zlatanov, 2025. "Applications of N -Tupled Fixed Points in Partially Ordered Metric Spaces for Solving Systems of Nonlinear Matrix Equations," Mathematics, MDPI, vol. 13(13), pages 1-20, June.

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