Mathematics

A note on semilinear degenerate relaxation equations associated with abstract differential operators

M. Kostić

University of Novi Sad, Novi Sad, Serbia

Abstract: The main aim of this paper is to prove some new results on semilinear degenerate relaxation equations associated with abstract differential operators. In order to do that, we use the Fourier multiplier techniques.

Keywords: abstract semilinear degenerate relaxation differential equation, Mittag-Leffler function, Caputo time-fractional derivative, $(\alpha,\alpha,\overline{P_{1}(A)},\overline{P_{2}(A)},C)$-resolvent family, abstract differential operator.

UDC: 517.983.5

Received: 25.07.2015
Revised: 12.05.2016

Language: English

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