Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations

By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In parti...

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Bibliographic Details
Main Authors: Zhang, Xinguang, Han, Y.
Format: Journal Article
Published: Elsevier 2012
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0893965911004708
http://hdl.handle.net/20.500.11937/21191
Description
Summary:By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In particular, this model comes from economics, financial mathematics and other applied sciences, since the initial value of the iterative sequence can begin from an known function, this is simpler and helpful for computation.