Abstract and Applied Analysis

Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness

Pengyu Chen and Yongxiang Li

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Abstract

A general class of semilinear fractional evolution equations of mixed type with nonlocal conditions on infinite dimensional Banach spaces is concerned. Under more general conditions, the existence of mild solutions and positive mild solutions is obtained by utilizing a new estimation technique of the measure of noncompactness and a new fixed point theorem with respect to convex-power condensing operator.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 784816, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450275

Digital Object Identifier
doi:10.1155/2013/784816

Mathematical Reviews number (MathSciNet)
MR3045079

Zentralblatt MATH identifier
1274.35400

Citation

Chen, Pengyu; Li, Yongxiang. Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 784816, 12 pages. doi:10.1155/2013/784816. https://projecteuclid.org/euclid.aaa/1393450275


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