Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations

被引：4

作者：

Govindan, Vediyappan ^{[1
]}

Noeiaghdam, Samad ^{[2
,3
]}

Fernandez-Gamiz, Unai ^{[4
]}

Sankeshwari, Sagar Ningonda ^{[5
]}

Arulprakasam, R. ^{[6
]}

Li, Bing Zhao ^{[7
]}

机构：

[1] Dmi St John Baptist Univ, Dept Math, Mangochi 409, Cent Africa, Malawi

[2] Irkutsk Natl Res Tech Univ, Baikal Sch BRICS, Ind Math Lab, Irkutsk 664074, Russia

[3] South Ural State Univ, Dept Appl Math & Programming, Lenin Prospect 76, Chelyabinsk 454080, Russia

[4] Univ Basque Country UPV EHU, Nucl Engn & Fluid Mech Dept, Nieves Cano 12, Vitoria 01006, Spain

[5] SVKMs NMIMS Deemed Univ, Sch Sci, Navi Mumbai 410210, India

[6] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Chennai, India

[7] Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China

来源：

SCIENTIFIC AFRICAN | 2022年 / 18卷

关键词：

Differential equation; Hyers-Ulam Stability; Shehu transform; LAPLACE; SOLVE;

D O I：

10.1016/j.sciaf.2022.e01427

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we establish the Shehu transform expression for homogeneous and non -homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense. Moreover, this pa-per introduced a new concept to find the Hyers-Ulam stability of the differential equation. This is the first attempt to use the Shehu transform to prove the Hyers-Ulam stability of the differential equation. Finally, the applications and remarks are discussed to demon-strate our strategy. Applications of the Shehu transform to fractional differential equations, Newton's law of cooling, and free undamped motion are also discussed.(c) 2022 The Author(s). Published by Elsevier B.V. on behalf of African Institute of Mathematical Sciences / Next Einstein Initiative.This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

引用

页数：22

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