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Fractional Sobolev type spaces associated with a singular differential operator and applications
Journal article   Peer reviewed

Fractional Sobolev type spaces associated with a singular differential operator and applications

Mourad Jelassi and Hatem Mejjaoli
Fractional Calculus and Applied Analysis, Vol.17(2), pp.401-423
01/06/2014
DOI: https://doi.org/10.2478/s13540-014-0177-1

Abstract

43A62 44A15 44A35 Fourier transform associated with ΔA generalized fractional operator second order differential operator ΔA Sobolev spaces wave equation
In this paper we introduce and we study fractional Sobolev type spaces associated with a singular second order differential operator on (0, ∞) and propose several results. As applications we give certain properties including estimates for the solution of the generalized wave equation and generalized fractional operator.

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