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

[1] Approximate solutions and Hyers-Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform
Etemad, Sina
Tellab, Brahim
Alzabut, Jehad
Rezapour, Shahram
Abbas, Mohamed Ibrahim
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[2] Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam–Hyers stability and travelling waves
Kamel Bensassa
Zoubir Dahmani
Mahdi Rakah
Mehmet Zeki Sarikaya
Analysis and Mathematical Physics, 2024, 14
[3] Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order
Zada, Akbar
Ali, Asfandyar
Riaz, Usman
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (07) : 2513 - 2528
[4] Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations
Belbali, Hadjer
Benbachir, Maamar
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1368 - 1385
[5] Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves
Bensassa, Kamel
Dahmani, Zoubir
Rakah, Mahdi
Sarikaya, Mehmet Zeki
ANALYSIS AND MATHEMATICAL PHYSICS, 2024, 14 (02)
[6] Existence and Ulam-Hyers Stability Analysis for Coupled Differential Equations of Fractional-Order with Nonlocal Generalized Conditions via Generalized Liouville-Caputo Derivative
Subramanian, Muthaiah
Aljoudi, Shorog
FRACTAL AND FRACTIONAL, 2022, 6 (11)
[7] Existence of Solutions and Hyers-Ulam Stability for a Coupled System of Nonlinear Fractional Differential Equations with p-Laplacian Operator
Shao, Jing
Guo, Boling
SYMMETRY-BASEL, 2021, 13 (07):
[8] Existence and Ulam-Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations
Almalahi, Mohammed A.
Abdo, Mohammed S.
Panchal, Satish K.
RESULTS IN APPLIED MATHEMATICS, 2021, 10
[9] Existence and Ulam-Hyers Stability Results for a System of Coupled Generalized Liouville-Caputo Fractional Langevin Equations with Multipoint Boundary Conditions
Awadalla, Muath
Subramanian, Muthaiah
Abuasbeh, Kinda
SYMMETRY-BASEL, 2023, 15 (01):
[10] Hyers–Ulam Stability for a Coupled System of Fractional Differential Equation With p-Laplacian Operator Having Integral Boundary Conditions
Hira Waheed
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Rizwan Rizwan
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Qualitative Theory of Dynamical Systems, 2022, 21

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