Fractional Fourier transform and stability of fractional differential equation on Lizorkin space

Fractional Fourier transform and stability of fractional differential equation on Lizorkin space

Abstract In the current study, we conduct an investigation into the Hyers–Ulam stability of linear fractional differential equation using the Riemann–Liouville derivatives based on fractional Fourier transform. In addition, some new results on stability conditions with respect to delay differential...

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Bibliographic Details
Main Authors: Bundit Unyong, Arusamy Mohanapriya, Anumanthappa Ganesh, Grienggrai Rajchakit, Vediyappan Govindan, R. Vadivel, Nallappan Gunasekaran, Chee Peng Lim
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Fractional Fourier transform
Fractional differential equation
Hyers–Ulam stability
Lizorkin space
Mittag-Leffler function
Riemann–Liouville derivative and integrals
Online Access:http://link.springer.com/article/10.1186/s13662-020-03046-5

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http://link.springer.com/article/10.1186/s13662-020-03046-5

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