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Monotone iterative technique for Riemann-Liouville fractional integro-differential equations with advanced arguments. (English) Zbl 1276.26017

Summary: We consider existence and uniqueness of solutions for nonlinear boundary value problems involving Riemann-Liouville fractional integro-differential equations with advanced arguments. By establishing a new comparison theorem and applying the monotone iterative technique, we show the existence of extremal solutions.

MSC:

26A33 Fractional derivatives and integrals
34K37 Functional-differential equations with fractional derivatives
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