Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 11, Issue 5, Pages 4465-4475Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.05.029
Keywords
C-0 semigroup; Fractional evolution equations; Mild solution; Nonlocal Cauchy problem; Laplace transform; Probability density
Categories
Funding
- National Natural Science Foundation of PR China [10971173]
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In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given. (C) 2010 Elsevier Ltd. All rights reserved.
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