Almost Automorphic Solutions to Abstract Fractional Differential Equations
<p/> <p>A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation <inline-formula><graphic file="1687-1847-2010-508374-i1.gif"/></inline-formula>, in complex Banach spaces...
| 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/2010/508374 |
| Summary: | <p/> <p>A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation <inline-formula><graphic file="1687-1847-2010-508374-i1.gif"/></inline-formula>, in complex Banach spaces, with <it>Stepanov-like almost automorphic coefficients</it>. Moreover, an application to a fractional relaxation-oscillation equation is given.</p> |
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| ISSN: | 1687-1839 1687-1847 |