Nonlinear boundary value problems of fractional functional integro-differential equations. (English) Zbl 1268.34021

Summary: We consider the existence of generalized solutions for fractional functional integro-differential equations of mixed type with nonlinear boundary value conditions. By establishing a new comparison theorem and applying the monotone iterative technique, we show the existence of extremal generalized solutions.


34A08 Fractional ordinary differential equations
34K37 Functional-differential equations with fractional derivatives
34K07 Theoretical approximation of solutions to functional-differential equations
34K10 Boundary value problems for functional-differential equations
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