4.5 Article

Positive solutions of a system of non-autonomous fractional differential equations

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ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2004.08.007

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Riemann-Liouville fractional derivative; completely continuous operator; Arzela-Ascoli theorem; ordered banach space

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Existence of positive solutions for the following system of fractional differential equations: D(alphai)u(i) =f(i)(t,u(1),u(2), ...u(2), ...u(n)), ui(0) =0, 0 < alpha(i) < 1, 1 less than or equal to i less than or equal to n, where D-alphai denotes Riemann-Liouville derivative of order alpha(i) has been studied. (C) 2004 Elsevier Inc. All rights reserved.

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