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

      1 , 2

      Advances in Mathematical Physics

      Hindawi Limited

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          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.

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          Fixed point theorems in partially ordered metric spaces and applications

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            Nonlocal Cauchy problem for fractional evolution equations

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              A Fixed Point Theorem of Krasnoselskii—Schaefer Type

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                Author and article information

                Journal
                Advances in Mathematical Physics
                Advances in Mathematical Physics
                Hindawi Limited
                1687-9120
                1687-9139
                March 03 2019
                March 03 2019
                : 2019
                : 1-9
                Affiliations
                [1 ]King Khalid University, College of Science, Department of Mathematics, P.O. Box 9004, 61413 Abha, Saudi Arabia
                [2 ]Suez Canal University, Faculty of Computers and Informatics, Department of Basic Science, Ismailia, Egypt
                Article
                10.1155/2019/6763842
                © 2019

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