Multidimensional Fourier transform and fractional derivative

J. E. Restrepo; A. Piedrahita; P. Agarwal

doi:10.17777/pjms2019.22.2.269

Multidimensional Fourier transform and fractional derivative

J. E. Restrepo
, A. Piedrahita
, P. Agarwal

Southern Federal University
Universidad de Antioquia
International College of Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Some properties of the multidimensional Fourier transform and the suitable fractional derivative are established. The obtained results are used to prove that the inverse problem for a time fractional advection-dispersion equation in a 2-D setting is ill-posed.

Original language	English
Pages (from-to)	269-279
Number of pages	11
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	22
Issue number	2
DOIs	https://doi.org/10.17777/pjms2019.22.2.269
State	Published - 2019
Externally published	Yes

Keywords

Fractional derivative
Ill-posed problems
Inverse problems
Multidimensional Fourier transform
Time-fractional advection-dispersion equation

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10.17777/pjms2019.22.2.269

Cite this

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title = "Multidimensional Fourier transform and fractional derivative",

abstract = "Some properties of the multidimensional Fourier transform and the suitable fractional derivative are established. The obtained results are used to prove that the inverse problem for a time fractional advection-dispersion equation in a 2-D setting is ill-posed.",

keywords = "Fractional derivative, Ill-posed problems, Inverse problems, Multidimensional Fourier transform, Time-fractional advection-dispersion equation",

author = "Restrepo, \{J. E.\} and A. Piedrahita and P. Agarwal",

year = "2019",

doi = "10.17777/pjms2019.22.2.269",

language = "English",

volume = "22",

pages = "269--279",

journal = "Proceedings of the Jangjeon Mathematical Society",

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TY - JOUR

T1 - Multidimensional Fourier transform and fractional derivative

AU - Restrepo, J. E.

AU - Piedrahita, A.

AU - Agarwal, P.

PY - 2019

Y1 - 2019

N2 - Some properties of the multidimensional Fourier transform and the suitable fractional derivative are established. The obtained results are used to prove that the inverse problem for a time fractional advection-dispersion equation in a 2-D setting is ill-posed.

AB - Some properties of the multidimensional Fourier transform and the suitable fractional derivative are established. The obtained results are used to prove that the inverse problem for a time fractional advection-dispersion equation in a 2-D setting is ill-posed.

KW - Fractional derivative

KW - Ill-posed problems

KW - Inverse problems

KW - Multidimensional Fourier transform

KW - Time-fractional advection-dispersion equation

UR - https://www.scopus.com/pages/publications/85069442768

U2 - 10.17777/pjms2019.22.2.269

DO - 10.17777/pjms2019.22.2.269

M3 - Article

AN - SCOPUS:85069442768

SN - 1598-7264

VL - 22

SP - 269

EP - 279

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 2

ER -

Multidimensional Fourier transform and fractional derivative

Abstract

Keywords

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