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

被引：4

作者：

Ganesh, Anumanthappa ^{[1
]}

Govindan, Vediyappan ^{[2
]}

Lee, Jung Rye ^{[3
]}

Mohanapriya, Arusamy ^{[4
]}

Park, Choonkil ^{[5
]}

机构：

[1] Govt Arts & Sci Coll, Dept Math, Hosur, Tamil Nadu, India

[2] Sri Vidya Mandir Arts & Sci Coll, Dept Math, Uthangarai, Tamil Nadu, India

[3] Daejin Univ, Dept Data Sci, Kyunggi 11159, South Korea

[4] Adhiyamaan Coll Engn, Dept Math, Hosur, Tamil Nadu, India

[5] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Mittag-Leffler function; Riemann-Liouville derivative and integral; fractional differential equation; Mittag-Leffler-Hyers-Ulam stability; fractional Fourier transform; lizorkin space;

D O I：

10.1007/s00025-021-01491-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：17

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