Global existence and asymptotic behavior for a fractional differential equation

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摘要

This paper is concerned with the global existence and asymptotic behavior of solutions to an initial boundary value problem of hyperbolic type. We investigate the interaction between a polynomial source and a dissipation of fractional order. This fractional dissipation is defined by a temporal nonlocal term.

论文关键词：Exponential decay,Fractional derivative,Polynomial source,Positive definite function,Weakly singular kernel

论文评审过程：Available online 11 January 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2006.11.105