Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
Joint Authors
Zou, Yumei
Liu, Lishan
Zhang, Xinqiu
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions.
Also, we give the iterative sequence of the solution and the error estimation of the system.
Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application.
The results obtained in this paper are more general than many previous results and complement them.
American Psychological Association (APA)
Zhang, Xinqiu& Liu, Lishan& Zou, Yumei. 2018. Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186564
Modern Language Association (MLA)
Zhang, Xinqiu…[et al.]. Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations. Journal of Function Spaces No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1186564
American Medical Association (AMA)
Zhang, Xinqiu& Liu, Lishan& Zou, Yumei. Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1186564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186564