Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation

Chaozhu Hu, Bin Liu and Songfa Xie

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

By means of the method of quasi-lower and quasi-upper solutions and monotone iterative technique, we consider the nonlinear boundary value problems with Caputo fractional derivative and introduce two well-defined monotone sequences of quasi-lower and quasi-upper solutions which converge uniformly to the actual solution of the problem, and then the existence results of the solution for the problems are established. A numerical iterative scheme is introduced to obtain an accurate approximate solution and to give one example to demonstrate the accuracy and efficiency of the new approach.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:493164

DOI: 10.1155/2013/493164

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