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Some results for fractional boundary value problem of differential inclusions

✍ Scribed by Abdelghani Ouahab

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
839 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 multivalued 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.

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