4.5 Article

Nonlocal Cauchy problem for fractional evolution equations

期刊

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 11, 期 5, 页码 4465-4475

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.05.029

关键词

C-0 semigroup; Fractional evolution equations; Mild solution; Nonlocal Cauchy problem; Laplace transform; Probability density

资金

  1. National Natural Science Foundation of PR China [10971173]

向作者/读者索取更多资源

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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