A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations | Zendy

Jieming Zhang | Zendy; Chen Yang | Zendy; Chengbo Zhai | Zendy

Open Access

A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations

Author(s) -

Jieming Zhang,

Chen Yang,

Chengbo Zhai

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/745674

Subject(s) - uniqueness , mathematics , monotone polygon , fixed point theorem , operator (biology) , fractional calculus , initial value problem , class (philosophy) , fixed point , mathematical analysis , computer science , biochemistry , chemistry , geometry , repressor , artificial intelligence , transcription factor , gene

We establish some sufficient conditions for the existence and uniqueness of positive solutions to a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative. Our analysis relies on a fixed point theorem for mixed monotone operators. Our result can not only guarantee the existence of a unique positive solution but also be applied to construct an iterative scheme for approximating it. An example is given to illustrate our main result

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