Controllability of Second Order Semilinear Random Differential Equations in Fréchet Spaces

Salim A., Mesri F., Benchohra M., Tunç C.

Mediterranean Journal of Mathematics, vol.20, no.2, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.1007/s00009-023-02299-0
  • Journal Name: Mediterranean Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Functional differential equation, random mild solution, cosine and sine families, Frechet space, controllability
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.This paper deals with the study of some existence and controllability results for a class of second-order functional differential equations with random effects in Fréchet spaces. The technique used to show the existence of random mild solutions is a generalization of the original Darbo fixed point theorem for Fréchet spaces combined with the notion of measure of noncompactness, and we prove that our problems are controllable.