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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Published in Neliniini Kolyvannya, Vol. 14, No. 1, pp. 7–20, January–March, 2011.
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Benchohra, M., Djebali, S. & Hamani, S. Boundary-value problems for differential inclusions with Riemann–Liouville fractional derivative. Nonlinear Oscill 14, 6–20 (2011). https://doi.org/10.1007/s11072-011-0137-1
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DOI: https://doi.org/10.1007/s11072-011-0137-1