A Sum Operator Method for the Existence and Uniqueness of Positive Solutions to a System of Nonlinear Fractional Integral Equations

Joint Authors

Wu, Jing
Wu, Tunhua

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-07-21

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the existence and uniqueness of positive solutions for a Volterra nonlinear fractional system of integral equations.

Our analysis relies on a fixed point theorem of a sum operator.

The conditions for the existence and uniqueness of a positive solution to the system are established.

Moreover, an iterative scheme is constructed for approximating the solution.

The case of quadratic system of fractional integral equations is also considered.

American Psychological Association (APA)

Wu, Jing& Wu, Tunhua. 2013. A Sum Operator Method for the Existence and Uniqueness of Positive Solutions to a System of Nonlinear Fractional Integral Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-494182

Modern Language Association (MLA)

Wu, Jing& Wu, Tunhua. A Sum Operator Method for the Existence and Uniqueness of Positive Solutions to a System of Nonlinear Fractional Integral Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-494182

American Medical Association (AMA)

Wu, Jing& Wu, Tunhua. A Sum Operator Method for the Existence and Uniqueness of Positive Solutions to a System of Nonlinear Fractional Integral Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-494182

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-494182