Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators
This paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above-mentioned equations, by means of measure of non...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/729615 |
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| _version_ | 1832565625243828224 |
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| author | Fang Li |
| author_facet | Fang Li |
| author_sort | Fang Li |
| collection | DOAJ |
| description | This paper is concerned with the existence of mild solutions for
the fractional integrodifferential equations with finite delay and
almost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above-mentioned equations, by means of measure of noncompactness and the resolvent operators associated with almost sectorial operators. As an application, the existence of mild solutions for some integrodifferential equation is
obtained. |
| format | Article |
| id | doaj-art-06bf982d29094469a1747c4549c00f75 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-06bf982d29094469a1747c4549c00f752025-02-03T01:07:04ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/729615729615Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial OperatorsFang Li0School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaThis paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above-mentioned equations, by means of measure of noncompactness and the resolvent operators associated with almost sectorial operators. As an application, the existence of mild solutions for some integrodifferential equation is obtained.http://dx.doi.org/10.1155/2012/729615 |
| spellingShingle | Fang Li Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators Abstract and Applied Analysis |
| title | Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators |
| title_full | Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators |
| title_fullStr | Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators |
| title_full_unstemmed | Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators |
| title_short | Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators |
| title_sort | existence of the mild solutions for delay fractional integrodifferential equations with almost sectorial operators |
| url | http://dx.doi.org/10.1155/2012/729615 |
| work_keys_str_mv | AT fangli existenceofthemildsolutionsfordelayfractionalintegrodifferentialequationswithalmostsectorialoperators |