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 |
| _version_ | 1811317709102645248 |
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| author | Li Fang |
| author_facet | Li Fang |
| author_sort | Li Fang |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-04-13T12:13:03Z |
| format | Article |
| id | doaj.art-9abbde2c1d194a7d96b24756829edff4 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T12:13:03Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9abbde2c1d194a7d96b24756829edff42022-12-22T02:47:26ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111806729Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite DelayLi Fang<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>http://www.advancesindifferenceequations.com/content/2011/806729 |
| spellingShingle | Li Fang Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay Advances in Difference Equations |
| title | Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay |
| title_full | Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay |
| title_fullStr | Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay |
| title_full_unstemmed | Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay |
| title_short | Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay |
| title_sort | solvability of nonautonomous fractional integrodifferential equations with infinite delay |
| url | http://www.advancesindifferenceequations.com/content/2011/806729 |
| work_keys_str_mv | AT lifang solvabilityofnonautonomousfractionalintegrodifferentialequationswithinfinitedelay |