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- Title
A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations.
- Authors
Jieming Zhang; Chen Yang; Chengbo Zhai
- Abstract
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.
- Subjects
MONOTONE operators; EXISTENCE theorems; UNIQUENESS (Mathematics); CAPUTO fractional derivatives; NUMERICAL solutions to differential equations; FIXED point theory; INITIAL value problems
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/745674