Characterization of compactness for resolvents and its applications

Zhenbin Fan

Applied Mathematics and Computation, 2014, vol. 232, issue C, 60-67

Abstract: In this paper, we derive some characterizations of compactness for resolvents as well as the subordination principle associated with the compactness. As applications, we obtain the existence of fractional evolution equations by using Schauder’s fixed point theorem. A simple example about fractional heat equation is also given to illustrate our theory.

Keywords: Compactness of resolvent; Analytic resolvent; Mild solution; Fractional evolution equation (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314000885
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:60-67

DOI: 10.1016/j.amc.2014.01.051

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().