- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 2 Issue: 3
- Random evolution equations in Frechet spaces
Random evolution equations in Frechet spaces
Authors : Said ABBAS, Amaria ARARA, Mouffak BENCHOHRA, Fatima MESRİ
Pages : 128-137
Doi:10.31197/atnaa.451341
View : 6 | Download : 14
Publication Date : 2018-09-30
Article Type : Research
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 noncompactnessKeywords : Functional evolution equation, evolution system, densely defined operator, mild solution, fixed point, Frechet space