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

Jing Wu | Zendy; Tunhua Wu | Zendy

Open Access

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

Author(s) -

Jing Wu,

Tunhua Wu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/731065

Subject(s) - mathematics , uniqueness , fixed point theorem , operator (biology) , nonlinear system , integral equation , mathematical analysis , picard–lindelöf theorem , quadratic equation , fractional calculus , volterra integral equation , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , transcription factor , gene

This paper is concerned with the existence and uniqueness of positive solutions fora Volterra nonlinear fractional system of integral equations. Our analysis relies on a fixed pointtheorem of a sum operator. The conditions for the existence and uniqueness of a positive solutionto the system are established. Moreover, an iterative scheme is constructed for approximatingthe solution. The case of quadratic system of fractional integral equations is also considered

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research