Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
<p/> <p>We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space <inline-formula><graphic file="1687-1847-2011-806729-i1.gif"/></inline-formula>....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/806729 |
| Summary: | <p/> <p>We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space <inline-formula><graphic file="1687-1847-2011-806729-i1.gif"/></inline-formula>. The existence of mild solution is obtained by using the theory of the measure of noncompactness and Sadovskii's fixed point theorem. An application of the abstract results is also given.</p> |
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| ISSN: | 1687-1839 1687-1847 |