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Zbl 1206.26005
Ahmad, B.; Ntouyas, S.K.
Some existence results for boundary value problems of fractional differential inclusions with non-separated boundary conditions. (English)
[J] Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 71, 17 p., electronic only (2010). ISSN 1417-3875/e

Summary: In this paper, we study the existence of solutions for a boundary value problem of differential inclusions of order $q \in (1,2]$ with non-separated boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34A60 ODE with multivalued right-hand sides
34B15 Nonlinear boundary value problems of ODE

Keywords: fractional differential inclusions; non-separated boundary conditions; existence; nonlinear alternative of Leray Schauder type; fixed point theorems

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