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

Lakshmikantham, V.; Vatsala, A. S.

Appl. Math. Lett. 21, No. 8, 828-834 (2008).

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.

Reviewer: Juan J. Trujillo (La Laguna)

MSC:

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

Keywords:

Fractional differential equations; Monotone iterative technique; Existence and Uniqueness Theorem

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