Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1. New results are obtained...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/158789 |
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doaj-589b9d94f8fd44edbb96cc329df1cdd02020-11-24T20:48:14ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/158789Existence and Uniqueness of Mild Solution for Fractional Integrodifferential EquationsFang LiGaston M. N&#39;Gu&#233;r&#233;kataWe study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1. New results are obtained by fixed point theorem. An application of the abstract results is also given. http://dx.doi.org/10.1155/2010/158789 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fang Li Gaston M. N&#39;Gu&#233;r&#233;kata |
| spellingShingle |
Fang Li Gaston M. N&#39;Gu&#233;r&#233;kata Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations Advances in Difference Equations |
| author_facet |
Fang Li Gaston M. N&#39;Gu&#233;r&#233;kata |
| author_sort |
Fang Li |
| title |
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations |
| title_short |
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations |
| title_full |
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations |
| title_fullStr |
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations |
| title_full_unstemmed |
Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations |
| title_sort |
existence and uniqueness of mild solution for fractional integrodifferential equations |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2010-01-01 |
| description |
We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1. New results are obtained by fixed point theorem. An application of the abstract results is also given. |
| url |
http://dx.doi.org/10.1155/2010/158789 |
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AT fangli existenceanduniquenessofmildsolutionforfractionalintegrodifferentialequations AT gastonmnamp39guamp233ramp233kata existenceanduniquenessofmildsolutionforfractionalintegrodifferentialequations |
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