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18 Mar 2012
A note on the existence of solutions for some boundary value problems of fractional differential inclusions
 Aurelian Cernea
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We study the existence of solutions for fractional differential inclusions of order q ∈ (1, 2] with families of mixed and closed boundary conditions. We establish Filippov type existence results in the case of nonconvex setvalued maps.
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 Title
 A note on the existence of solutions for some boundary value problems of fractional differential inclusions
 Journal

Fractional Calculus and Applied Analysis
Volume 15, Issue 2 , pp 183194
 Cover Date
 20120601
 DOI
 10.2478/s1354001200134
 Print ISSN
 13110454
 Online ISSN
 13142224
 Publisher
 SP Versita
 Additional Links
 Topics
 Keywords

 34A60
 34A08
 35R11
 fractional differential inclusion
 Caputo fractional derivative
 boundary value problem
 mixed and closed boundary conditions
 Authors

 Aurelian Cernea ^{(1)}
 Author Affiliations

 1. Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014, Bucharest, Romania