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

被引：0

作者：

Sina Etemad

Brahim Tellab

Jehad Alzabut

Shahram Rezapour

Mohamed Ibrahim Abbas

机构：

[1] Azarbaijan Shahid Madani University,Department of Mathematics

[2] Kasdi Merbah University,Laboratory of Applied Mathematics

[3] Prince Sultan University,Department of Mathematics and General Sciences

[4] Ostim Technical University,Group of Mathematics, Faculty of Engineering

[5] China Medical University,Department of Medical Research, China Medical University Hospital

[6] Alexandria University,Department of Mathematics and Computer Science, Faculty of Science

来源：

Advances in Difference Equations | / 2021卷

关键词：

Approximate solutions; Fixed point; Coupled system; GDT-method; Stability analysis; Thermostat control model; 26A33; 34A08; 34B15; 65R20;

D O I：

暂无

中图分类号：

学科分类号：

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

共 29 条

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