## Abstract and Applied Analysis

### Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators

Fang Li

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 729615, 22 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495796

Digital Object Identifier
doi:10.1155/2012/729615

Mathematical Reviews number (MathSciNet)
MR2955026

Zentralblatt MATH identifier
1246.45007

#### Citation

Li, Fang. Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators. Abstr. Appl. Anal. 2012 (2012), Article ID 729615, 22 pages. doi:10.1155/2012/729615. https://projecteuclid.org/euclid.aaa/1355495796

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