On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis

We consider the time-fractional derivative in the Caputo sense of order α∈(0, 1). Taking into account the asymptotic behavior and the existence of bounds for the Mainardi and the Wright function in R+, two different initial-boundary-value problems for the time-fractional diffusion equation on the re...

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Bibliographic Details
Main Authors: D. Goos, G. Reyero, S. Roscani, E. Santillan Marcus
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2015/439419