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Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A.S.
General uniqueness and monotone iterative technique for fractional differential equations.
(English)
[J] Appl. Math. Lett. 21, No. 8, 828-834 (2008). ISSN 0893-9659

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.
[Juan J. Trujillo (La Laguna)]
MSC 2000:
*34G20 Nonlinear ODE in abstract spaces
26A33 Fractional derivatives and integrals (real functions)
34A35 ODE of infinite order

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

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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