Mittag–Leffler–Hyers–Ulam Stability of Delay Fractional Differential Equation via Fractional Fourier Transform

被引：0
作者：
Anumanthappa Ganesh
Vediyappan Govindan
Jung Rye Lee
Arusamy Mohanapriya
Choonkil Park
机构：
[1] Government Arts and Science College,Department of Mathematics
[2] Sri Vidya Mandir Arts and Science College,Department of Mathematics
[3] Daejin University,Department of Data Science
[4] Adhiyamaan College of Engineering,Department of Mathematics
[5] Hanyang University,Research Institute for Natural Sciences
来源：
Results in Mathematics | 2021年 / 76卷
关键词：
Mittag–Leffler function; Riemann–Liouville derivative and integral; fractional differential equation; Mittag–Leffler–Hyers–Ulam stability; fractional Fourier transform; lizorkin space; Primary 39B72; 12H20; 49J21;
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摘要：
This paper deals with existence and Mittag–Leffler–Hyers–Ulam stability of solution for a fractional order differential equation involving Riemann–Liouville derivative. Applying fractional Fourier transform method, existence and stability results are obtained for the proposed problems. In addition, stability results for delay fractional differential equation are investigated. Examples are given to illustrate of main work.
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