- Journal of Mathematical Sciences and Modelling
- Vol: 1 Issue: 1
- Evolution equations in Fréchet spaces
Evolution equations in Fréchet spaces
Authors : Said Abbas, Amaria Arara, Mouffak Benchohra, Fatima Mesri
Pages : 33-38
Doi:10.33187/jmsm.419917
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Publication Date : 2018-05-27
Article Type : Research
Abstract :This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.Keywords : Densely defined operator, evolution system, fixed point, evolution equation, mild solution