Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

被引：25

作者：

Etemad, Sina ^{[1
]}

Tellab, Brahim ^{[2
]}

Alzabut, Jehad ^{[3
,4
]}

Rezapour, Shahram ^{[1
,5
]}

Abbas, Mohamed Ibrahim ^{[6
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[2] Kasdi Merbah Univ, Lab Appl Math, BP 511, Ouargla 30000, Algeria

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[4] Ostim Tech Univ, Fac Engn, Grp Math, TR-06374 Ankara, Turkey

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[6] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Approximate solutions; Fixed point; Coupled system; GDT-method; Stability analysis; Thermostat control model; ADOMIAN DECOMPOSITION; EQUATIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1186/s13662-021-03563-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the solution to the given coupled system. This property is proved by using the Krasnoselskii's fixed point theorem and its uniqueness is proved via the Banach principle for contractions. Further, the Hyers-Ulam stability of solutions is investigated. Then, we find the approximate solution of the coupled fractional thermostat control system by using a numerical technique called the generalized differential transform method. To show the consistency and validity of our theoretical results, we provide two illustrative examples.

引用

页数：25

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