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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Main Author: Fang Li
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/729615
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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.
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institution Kabale University
issn 1085-3375
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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