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Zbl 1165.34313
Chang, Yong-Kui; Nieto, Juan J.
Some new existence results for fractional differential inclusions with boundary conditions. (English)
[J] Math. Comput. Modelling 49, No. 3-4, 605-609 (2009). ISSN 0895-7177

Summary: This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust-Karlin's fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity $F$ has sub-linear or linear growth in the state variable $y$. Our results are even new when applied to a corresponding single-valued problem.

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

Keywords: fractional differential inclusions; boundary conditions; fixed point

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