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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Some results for fractional boundary value problem of differential inclusions
Nonlinear Analysis, Theory, Methods and Applications, Volume 69, No. 11, Year 2008
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Description
In this paper, we study fractional differential inclusions with Dirichlet boundary conditions. We prove the existence of a solution under both convexity and nonconvexity conditions on the multi-valued right-hand side. The proofs rely on nonlinear alternative Leray-Schauder type, Bressan-Colombo selection theorem and Covitz and Nadler's fixed point theorem for multi-valued contractions. The compactness of the set solutions and relaxation results is also established. In the last section we consider the fractional boundary value problem with infinite delay. © 2007 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Ouahab, Abdelghani
Algeria, Sidi Bel Abbes
Université Djillali Liabes de Sidi Bel Abbes
Statistics
Citations: 130
Authors: 1
Affiliations: 1
Identifiers
Doi:
10.1016/j.na.2007.10.021
ISSN:
0362546X