Controllability of fractional integro-differential evolution equations with nonlocal conditions

Jin Liang and He Yang

Applied Mathematics and Computation, 2015, vol. 254, issue C, 20-29

Abstract: This paper concerns the controllability for a class of fractional integro-differential evolution equations with nonlocal initial conditions. By using the fractional calculus, measure of noncompactness and the Mönch fixed point theorem, we obtain a controllability result for the nonlocal Cauchy problem of the fractional integro-differential evolution equations involving noncompact semigroups and the nonlocal functions without Lipschitz continuity. An example is given to illustrate the effectiveness of the abstract results.

Keywords: Nonlocal Cauchy problem; Fractional integro-differential evolution equation; Controllability; Measure of noncompactness; Fixed point theorem (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031500003X
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:254:y:2015:i:c:p:20-29

DOI: 10.1016/j.amc.2014.12.145

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 ().