Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 59, Issue 3, Pages 1318-1325Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.07.001
Keywords
Fractional differential equation; Almost automorphic function; Mild solution
Categories
Funding
- Scientific Research Foundation of Hunan Provincial Education Department [05A057]
- Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province
- Construct Program of the Key Discipline in Hunan Province
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This paper investigates almost automorphic mild solutions of the fractional semilinear equation D(alpha)x(t) = Ax(t) + f(t, x(t)), 0 < alpha < 1, considered in a Banach space x, where A is a linear operator of sectorial type omega < 0. Some sufficient conditions are given for the existence, uniqueness and uniform stability of almost automorphic mild solutions to this semilinear equation. (C) 2009 Elsevier Ltd. All rights reserved.
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