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, cilt.44, sa.7, ss.5648-5662, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7139
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.5648-5662
  • Anahtar Kelimeler: Darbo fixed point theorem, fractional PDE, Hausdorff measure, mild solution, multiplicative white noise
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.