A Wave Equation with Fractional Damping | Zendy

Nasser-edine Tatar | Zendy

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A Wave Equation with Fractional Damping

Author(s) -

Nasser-edine Tatar

Publication year - 2003

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1165

Subject(s) - fractional calculus , norm (philosophy) , wave equation , mathematics , polynomial , exponential function , mathematical analysis , argument (complex analysis) , derivative (finance) , exponential growth , order (exchange) , biochemistry , chemistry , finance , political science , financial economics , law , economics

Summary We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improve s an earlier one where the initial data are supposed to be very large in some norm. A new argument based on a new functional is proposed.

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