Mild solutions of a fractional partial differential equation with noise

Bouteraa N., İNÇ M., AKINLAR M. A., Bin-Mohsin B.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.7, pp.5648-5662, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.7139
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.5648-5662
  • Keywords: Darbo fixed point theorem, fractional PDE, Hausdorff measure, mild solution, multiplicative white noise
  • Yıldız Technical University Affiliated: Yes

Abstract

This article focuses on studying mild solutions of an original fractional partial differential equation disturbed by multiplicative white noise. We employ techniques of semigroup theory, Hausdorff measure, and Darbo fixed point theorem.