General uniqueness and monotone iterative technique for fractional differential equations. (English) Zbl 1161.34031

The authors present a very interesting work on how can be explored the solution of certain class of hyperbolic evolution equation, with limited smoothness, using multi-scale approaching techniques. The construction considered by the authors in this paper implies a full-wave description. The study suggests a novel computational algorithm. Also the authors present some applications of such numerical approach.


34G20 Nonlinear differential equations in abstract spaces
26A33 Fractional derivatives and integrals
34A35 Ordinary differential equations of infinite order
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