On initial and boundary value problems for fractional order mixed type functional differential inclusions
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Darwish, M. A.
Ntouyas, S. K.
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Elsevier
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peer reviewed
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Computers & Mathematics with Applications
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In this paper we prove some existence results for initial and boundary value problems for functional differential inclusions of fractional order with both retarded and advanced arguments. The Banach fixed point theorem, the nonlinear alternative of the Leray-Schauder type and the Covitz-Nadler fixed point theorem are the main tools in deriving our proofs. (C) 2009 Elsevier Ltd. All rights reserved.
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functional differential inclusions, initial value problems, boundary value problems, fractional derivatives, retarded argument, advanced argument, existence, equations
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<Go to ISI>://000274767000020
http://ac.els-cdn.com/S0898122109003563/1-s2.0-S0898122109003563-main.pdf?_tid=6e9d8801a94b4a7782305aa5b962b678&acdnat=1338276170_3dc5657de64afc0f877a72889cb75ef7
http://ac.els-cdn.com/S0898122109003563/1-s2.0-S0898122109003563-main.pdf?_tid=6e9d8801a94b4a7782305aa5b962b678&acdnat=1338276170_3dc5657de64afc0f877a72889cb75ef7
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών