Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 11, Pages 2993-3005Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2013.03.006
Keywords
Caputo's fractional derivative; Fractional equation; Delay; Existence and uniqueness; Fixed point theorem
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Funding
- Natural Science Foundation of Anhui Province of PR China [1208085QA11, 1208085QG131]
- Natural Science Foundation of Anhui Province of PR China for high education [KJ2012A001, KJ2013A003, KJ2011B005, 2011SQRL068, KJ2012B002, KJ2012B004]
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By fixed point theory the nonlinear alternative of Leray-Schauder type, and the properties of absolutely continuous functions space, we study the existence and uniqueness of initial value problems for nonlinear higher fractional equations with delay, and obtain some new results involving local and global solutions. (C) 2013 Elsevier B. V. All rights reserved.
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