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A study on fractional differential equations using the fractional Fourier transform

Hammachukiattikul, P, Mohanapriya, A, Ganesh, A, Rajchakit, G, Govindan, V, Gunasekaran, N and Lim, Chee Peng 2020, A study on fractional differential equations using the fractional Fourier transform, Advances in Difference Equations, pp. 1-22, doi: 10.1186/s13662-020-03148-0.

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Title A study on fractional differential equations using the fractional Fourier transform
Author(s) Hammachukiattikul, P
Mohanapriya, A
Ganesh, A
Rajchakit, G
Govindan, V
Gunasekaran, N
Lim, Chee PengORCID iD for Lim, Chee Peng orcid.org/0000-0003-4191-9083
Journal name Advances in Difference Equations
Article ID 691
Start page 1
End page 22
Total pages 22
Publisher Springer
Place of publication Berlin, Germany
Publication date 2020-12-01
ISSN 1687-1839
1687-1847
Keyword(s) Hyers–Ulam–Rassias stability
Fourier transform
Mittag-Leffler kernel
Caputo–Fabrizio fractional differential equation
Summary This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with Atangana and Baleanu fractional derivative. Specifically, we establish the Hyers–Ulam–Rassias stability results and examine their existence and uniqueness for solving nonlinear problems. Simulation examples are presented to validate the results.
Language eng
DOI 10.1186/s13662-020-03148-0
Indigenous content off
Field of Research 0101 Pure Mathematics
HERDC Research category C1 Refereed article in a scholarly journal
Free to Read? Yes
Persistent URL http://hdl.handle.net/10536/DRO/DU:30146343

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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.