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Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations. (English) Zbl 1232.34012
The paper concerns the solution of fractional differential equations with Riemann-Liouville fractional differential operators of order between 0 and 1. The paper presents a monotone method which constructs sequences of upper and lower solutions which are solutions to linear problems and which are shown to converge uniformly to either a unique solution, or maximal or minimal solutions. Comparison and existence/uniqueness results are also given.
MSC:
34A08Fractional differential equations
34A45Theoretical approximation of solutions of ODE