Krasnoselskii N-Tupled Fixed Point Theorem with Applications to Fractional Nonlinear Dynamical System. (3rd March 2019)

• Record Type: Journal Article
• Authors: Nabil, Tamer
• Other Names: Shmarev Sergey Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2019(2019)
• Publication Date: 2019-03-03
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2019/6763842
• Languages: English
• ISSNs: 1687-9120

Abstract

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.