Journal of Applied Nonlinear Dynamics
On the Solutions of Some Boundary Value Problems for Integro-differential Inclusions of Fractional Order
Journal of Applied Nonlinear Dynamics 6(2) (2017) 173--179 | DOI:10.5890/JAND.2017.06.004
Aurelian Cernea$^{1}$,$^{2}$
$^{1}$ Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
$^{2}$ Academy of Romanian Scientists, Splaiul Independen¸tei 54, 050094 Bucharest, Romania
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Abstract
We study the existence of solutions for fractional integro-differential inclusions with nonlocal boundary conditions and with multi-order fractional integral conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.
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