Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 2, Pages 925-932Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.07.034
Keywords
Semilinear functional differential equation; Nondense domain; Fractional derivative; Fractional integral; Fixed point; Semigroups; Integral solutions
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In this paper, we establish sufficient conditions for existence and uniqueness of solutions for some nondensely defined semilinear functional differential equations involving the Riemann-Liouville derivative. Our approach is based on integrated semigroup theory, the Banach contraction principle, and the nonlinear alternative of Leray-Schauder type. (C) 2009 Elsevier Ltd. All rights reserved.
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