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Zbl 1206.34010
Ahmad, Bashir; Nieto, Juan J.
Existence results for higher order fractional differential inclusions with nonlocal boundary conditions. (English)
[J] Nonlinear Stud. 17, No. 2, 131-138 (2010). ISSN 1359-8678; ISSN 2153-4373/e

The authors are concerned with fractional differential inclusions of order greater than one. The problems are equipped with non-local boundary conditions. The main result of the paper is the proof of an existence theorem, based on the Bohnenblust-Karlins fixed point theorem. The paper concludes with some brief illustrative examples.
[Neville Ford (Chester)]
MSC 2000:
*34A08
34B10 Multipoint boundary value problems
34A60 ODE with multivalued right-hand sides
47N20 Appl. of operator theory to differential and integral equations

Keywords: fractional boundary value problem; existence; fixed point theorem; differential inclusions

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