Positive Mild Solutions of Periodic Boundary Value Problems for Fractional Evolution Equations
The periodic boundary value problem is discussed for a class of fractional evolution equations. The existence and uniqueness results of mild solutions for the associated linear fractional evolution equations are established, and the spectral radius of resolvent operator is accurately estimated. With...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/691651 |
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| Summary: | The periodic boundary value problem is discussed for a class of fractional
evolution equations. The existence and uniqueness results of mild solutions for the associated
linear fractional evolution equations are established, and the spectral radius of resolvent operator
is accurately estimated. With the aid of the estimation, the existence and uniqueness results of
positive mild solutions are obtained by using the monotone iterative technique. As an application
that illustrates the abstract results, an example is given. |
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| ISSN: | 1110-757X 1687-0042 |