A study on fractional differential equations using the fractional Fourier transform

被引：0
作者：
Porpattama Hammachukiattikul
Arusamy Mohanapriya
Anumanthappa Ganesh
Grienggrai Rajchakit
Vediyappan Govindan
Nallappan Gunasekaran
Chee Peng Lim
机构：
[1] Phuket Rajabhat University,Department of Mathematics
[2] Adhiyamaan College of Engineering,Department of Mathematics
[3] Periyar University,Department of Mathematics, Government Arts and science College
[4] Maejo University,Department of Mathematics, Faculty of Science
[5] Sri Vidya Mandir Arts & Science College,Department of Mathematics
[6] Shibaura Institute of Technology,Department of Mathematical Sciences
[7] Deakin University,Institute for Intelligent Systems Research and Innovation
来源：
Advances in Difference Equations | / 2020卷
关键词：
Hyers–Ulam–Rassias stability; Fourier transform; Mittag-Leffler kernel; Caputo–Fabrizio fractional differential equation;
D O I：
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学科分类号：
摘要：
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.
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