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Nonlinear boundary value problems of fractional differential systems. (English) Zbl 1252.34006
Summary: We consider the existence of generalized solutions for fractional differential systems with nonlinear boundary value conditions. We first establish a new comparison theorem. By applying the monotone iterative technique and the method of lower and upper generalized solutions, we obtain sufficient conditions for existence of extremal generalized solutions.

34A08Fractional differential equations
34B15Nonlinear boundary value problems for ODE
45J05Integro-ordinary differential equations
Full Text: DOI
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