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BOUNDARY-VALUE PROBLEMS FOR DIFFERENTIAL INCLUSIONS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE
Journal article

BOUNDARY-VALUE PROBLEMS FOR DIFFERENTIAL INCLUSIONS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

M. Benchohra, S. Djebali and S. Hamani
Nonlinear oscillations, Vol.14(1), pp.6-20
01/06/2011

Abstract

Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
We establish sufficient conditions for the existence of solutions of a class of boundary-value problems for fractional differential inclusions involving the Riemann-Liouville fractional derivative. The cases of convex-valued and nonconvex-valued right-hand sides are considered. The topological structure of the set of solutions is also examined.

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