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Generalized fraction evolution equations with fractional Gross Laplacian
Journal article   Peer reviewed

Generalized fraction evolution equations with fractional Gross Laplacian

Samah Horrigue, Habib Ouerdiane and Imen Salhi
Fractional calculus & applied analysis, Vol.19(2), pp.394-407
01/04/2016
DOI: https://doi.org/10.1515/fca-2016-0021

Abstract

generalized fractional Gross Laplacian infinite dimensional entire functions with growth condition Primary 60H15, 46F25, 26A33 Riemann-Liouville derivative Secondary 60H05, 46G20 Young function
In this paper, we define and consider the fractional Gross Laplacian which is characterized by the Laplace transform. As application, we study the generalized Riemann-Liouville time fractional diffusion equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function.

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