Some results for fractional boundary value problem of differential inclusions

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Abstract

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.

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Ouahab, A. (2008). Some results for fractional boundary value problem of differential inclusions. Nonlinear Analysis, Theory, Methods and Applications, 69(11), 3877–3896. https://doi.org/10.1016/j.na.2007.10.021

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