4.6 Article

Existence and uniqueness of mild solutions to impulsive fractional differential equations

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 3-4, Pages 1604-1615

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.08.046

Keywords

Cauchy problem; Fractional abstract differential equation; Impulsive equations; Mild solutions; Nonlocal conditions

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This paper is concerned with the existence and uniqueness of a mild solution to impulsive fractional semilinear differential equations. The results are obtained by means of fixed point methods. We also give an example of such problems. (C) 2009 Elsevier Ltd. All rights reserved.

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