Journal of Applied Nonlinear Dynamics
Some Remarks on a Multi Point Boundary Value Problem for a Fractional Order Differential Inclusion
Journal of Applied Nonlinear Dynamics 2(2) (2013) 151--160 | DOI:10.5890/JAND.2013.04.004
Aurelian Cernea
Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
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Abstract
We study a multi point boundary value problem for a fractional order differential inclusion involving a nonconvex set-valued map. We establish a Filippov type existence theorem and we prove the arcwise connectedness of the solution set of the problem considered.
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