Random evolution equations in Frechet spaces

Year 2018, Volume: 2 Issue: 3, 128 - 137, 30.09.2018

Said Abbas Amaria Arara Mouffak Benchohra , Fatima Mesri

https://doi.org/10.31197/atnaa.451341

Abstract

This paper deals with the existence of random mild solutions for some classes of first and second order functional evolution equations with random effects in Frechet spaces. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measure of noncompactness

Keywords

Functional evolution equation, evolution system, densely defined operator, mild solution, fixed point, Frechet space

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