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

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 equation...

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Bibliographic Details
Published in:	Advances in Difference Equations Vol. 2020; no. 1; pp. 1 - 23
Main Authors:	Unyong, Bundit, Mohanapriya, Arusamy, Ganesh, Anumanthappa, Rajchakit, Grienggrai, Govindan, Vediyappan, Vadivel, R., Gunasekaran, Nallappan, Lim, Chee Peng
Format:	Journal Article
Language:	English
Published:	Cham Springer Science and Business Media LLC 16.10.2020 Springer International Publishing SpringerOpen
Subjects:	Analysis Difference and Functional Equations Fractional differential equation Fractional Fourier transform Functional Analysis Hyers–Ulam stability Lizorkin space Mathematics Mathematics and Statistics Mittag-Leffler function Ordinary Differential Equations Partial Differential Equations QA1-939 Riemann–Liouville derivative and integrals Fractional differential equation Lizorkin space Hyers–Ulam stability Mittag-Leffler function Riemann–Liouville derivative and integrals Fractional Fourier transform
ISSN:	1687-1847, 1687-1847
Online Access:	Get full text
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