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Mild solutions of a fractional partial differential equation with noise
Author(s) -
Bouteraa Noureddine,
Inc Mustafa,
Akinlar Mehmet Ali,
BinMohsin Bandar
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7139
Subject(s) - mathematics , semigroup , hausdorff measure , partial differential equation , white noise , fixed point theorem , mathematical analysis , multiplicative function , pure mathematics , hausdorff dimension , statistics
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.