Mild solutions of a fractional partial differential equation with noise

Noureddine Bouteraa; Mustafa Inc; Mehmet Ali Akinlar; Bandar Bin-Mohsin

doi:10.1002/mma.7139

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$Mild solutions of a fractional partial differential equation with noise$

Journal article

Peer reviewed

Mild solutions of a fractional partial differential equation with noise

Noureddine Bouteraa, Mustafa Inc, Mehmet Ali Akinlar and Bandar Bin-Mohsin

Mathematical methods in the applied sciences, Vol.44(7), pp.5648-5662

15/05/2021

DOI: https://doi.org/10.1002/mma.7139

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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.

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Title: Mild solutions of a fractional partial differential equation with noise
Creators - without role: Noureddine Bouteraa - Université Oran 1 Ahmed Ben Bella
Mustafa Inc - Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey
Mehmet Ali Akinlar - Yıldız Technical University
Bandar Bin-Mohsin - King Saud University
Publication Details: Mathematical methods in the applied sciences, Vol.44(7), pp.5648-5662
Publisher: Wiley
Number of pages: 15
Grant note: RSP-2020/158 / King Saud University
Identifiers: 9947439708331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article