Mittag-Leffler-Hyers-Ulam stability of differential equation using Fourier transform

被引：8

作者：

Mohanapriya, Arusamy ^{[1
]}

Park, Choonkil ^{[2
]}

Ganesh, Anumanthappa ^{[3
]}

Govindan, Vediyappan ^{[4
]}

机构：

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

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

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Mittag-Leffler-Hyers-Ulam stability; Fourier transform; Differential equation;

D O I：

10.1186/s13662-020-02854-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research paper aims to present the results on the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of linear differential equations of first, second, andnth order by the Fourier transform method. Moreover, the stability constant of such equations is obtained. Some examples are given to illustrate the main results.

引用

页数：16

共 30 条

[1] Abbas MI, 2015, EUR J PURE APPL MATH, V8, P478
[2] AGARWAL RP, 1953, CR HEBD ACAD SCI, V236, P2031
[3] Algifiary Q.H., 2014, ELECTRON J DIFFER EQ, V2014, DOI [10.1186/1687-1847-2014-80, DOI 10.1186/1687-1847-2014-80]
[4] On some inequalities and stability results related to the exponential function
Alsina, C
Ger, R
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 1998, 2 (04) : 373 - 380
[5] [Anonymous], 2005, A First Course in Harmonic Analysis
[6] A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
Eghbali, Nasrin
Kalvandi, Vida
Rassias, John M.
[J]. OPEN MATHEMATICS, 2016, 14 : 237 - 246
[7] Folland G. B., 1992, FOURIER ANAL ITAPP
[8] Humbert P., 1953, Bull. Sci. Math. (Ser.II), V77, P180
[9] On the stability of the linear functional equation
Hyers, DH
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 : 222 - 224
[10] Kalvandi V, 2019, J MATH EXT, V13, P29

← 1 2 3 →