Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
<p/> <p>We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations <inline-formula><graphic file="1687-1847-2010-158789-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2010/158789 |
| Summary: | <p/> <p>We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations <inline-formula><graphic file="1687-1847-2010-158789-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-158789-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-158789-i3.gif"/></inline-formula>, in a Banach space <inline-formula><graphic file="1687-1847-2010-158789-i4.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2010-158789-i5.gif"/></inline-formula>. New results are obtained by fixed point theorem. An application of the abstract results is also given.</p> |
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| ISSN: | 1687-1839 1687-1847 |