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Zbl 1224.34023
Ibrahim, Rabha W.
Initial and boundary value problems for inclusions involving Caputo's fractional derivatives. (English)
[J] PU.M.A., Pure Math. Appl. 18, No. 1-2, 77-90 (2007). ISSN 1218-4586

Summary: We establish the existence of solutions of initial and boundary value problem to same class of fractional differential inclusions in sense of Caputo's fractional derivative. The study holds in the case when the set-valued (multi-valued) function has convex as well as non-convex values.
MSC 2000:
*34A60 ODE with multivalued right-hand sides
34A12 Initial value problems for ODE
34A08
34B15 Nonlinear boundary value problems of ODE

Keywords: boundary value problems; Caputo's fractional derivatives

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