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On a class of equations arising in linear viscoelasticity theory
Author(s) -
Atanackovic T.,
Pilipovic S.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310209
Subject(s) - viscoelasticity , uniqueness , class (philosophy) , mathematics , fractional calculus , mathematical analysis , pure mathematics , space (punctuation) , derivative (finance) , mathematical physics , physics , thermodynamics , computer science , financial economics , economics , operating system , artificial intelligence
We study the existence and uniqueness of solution for a class of equations of the form ∑ m i=0 a i y ( i) ( t ) + ∫ a b ϕ (α) y(α) ( t ) d α= h ( t ) , where y (α) ( t ) is the Riemann Liouville fractional derivative, in the space of tempered distributions. Such equations arise in the distributed derivatives models of linear viscoelasticity.