Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/493164 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |