A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.

Saved in:
Bibliographic Details
Title: A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.
Authors: Xiangbing Zhou1 studydear@gmail.com, Wenquan Wu1, Hongjiang Ma1
Source: Abstract & Applied Analysis. 2012, p1-11. 11p.
Subjects: Fixed point theory, Partially ordered spaces, Metric spaces, Fractional calculus, Numerical solutions to differential equations, Uniqueness (Mathematics)
Abstract: We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010).We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives. [ABSTRACT FROM AUTHOR]
Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Description
Abstract:We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010).We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives. [ABSTRACT FROM AUTHOR]
ISSN:10853375
DOI:10.1155/2012/856302