On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions

Tuan Nguyen Anh; Le Dinh Long; Donal O'Regan; Nguyen Hoang Luc

doi:10.1002/mma.7551

On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions

Tuan Nguyen Anh
, Le Dinh Long
, Donal O'Regan
, Nguyen Hoang Luc

Mathematics

Thu Dau Mot University
University of Science Ho Chi Minh City
Vietnam National University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper, we study a fractional nonlinear Rayleigh–Stokes problem with nonlocal conditions. Existence, uniqueness, and regularity of the mild solution of the problem are investigated in some appropriate spaces. Furthermore, when the parameter goes to zero, we consider the convergence of the mild solution. Our analysis relies on Banach's fixed point theorem.

Original language	English
Pages (from-to)	12426-12441
Number of pages	16
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	17
DOIs	https://doi.org/10.1002/mma.7551
Publication status	Published - 30 Nov 2021

Keywords

fractional derivative
ill-posed problem
source problem

Access to Document

10.1002/mma.7551

Cite this

@article{8d3fabf9a05b46eea92b9d52b30e2362,

title = "On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions",

abstract = "In this paper, we study a fractional nonlinear Rayleigh–Stokes problem with nonlocal conditions. Existence, uniqueness, and regularity of the mild solution of the problem are investigated in some appropriate spaces. Furthermore, when the parameter goes to zero, we consider the convergence of the mild solution. Our analysis relies on Banach's fixed point theorem.",

keywords = "fractional derivative, ill-posed problem, source problem",

author = "\{Nguyen Anh\}, Tuan and Long, \{Le Dinh\} and Donal O'Regan and Luc, \{Nguyen Hoang\}",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

year = "2021",

month = nov,

day = "30",

doi = "10.1002/mma.7551",

language = "English",

volume = "44",

pages = "12426--12441",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "17",

}

TY - JOUR

T1 - On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions

AU - Nguyen Anh, Tuan

AU - Long, Le Dinh

AU - O'Regan, Donal

AU - Luc, Nguyen Hoang

PY - 2021/11/30

Y1 - 2021/11/30

N2 - In this paper, we study a fractional nonlinear Rayleigh–Stokes problem with nonlocal conditions. Existence, uniqueness, and regularity of the mild solution of the problem are investigated in some appropriate spaces. Furthermore, when the parameter goes to zero, we consider the convergence of the mild solution. Our analysis relies on Banach's fixed point theorem.

AB - In this paper, we study a fractional nonlinear Rayleigh–Stokes problem with nonlocal conditions. Existence, uniqueness, and regularity of the mild solution of the problem are investigated in some appropriate spaces. Furthermore, when the parameter goes to zero, we consider the convergence of the mild solution. Our analysis relies on Banach's fixed point theorem.

KW - fractional derivative

KW - ill-posed problem

KW - source problem

UR - https://www.scopus.com/pages/publications/85106432028

U2 - 10.1002/mma.7551

DO - 10.1002/mma.7551

M3 - Article

AN - SCOPUS:85106432028

SN - 0170-4214

VL - 44

SP - 12426

EP - 12441

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 17

ER -

On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this