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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Vydané v:	Advances in Difference Equations Ročník 2020; číslo 1; s. 1 - 23
Hlavní autori:	Unyong, Bundit, Mohanapriya, Arusamy, Ganesh, Anumanthappa, Rajchakit, Grienggrai, Govindan, Vediyappan, Vadivel, R., Gunasekaran, Nallappan, Lim, Chee Peng
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer Science and Business Media LLC 16.10.2020 Springer International Publishing SpringerOpen
Predmet:	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
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