Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers-Reference-Cited by-同舟云学术

Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers

Published:2022-12-03 Issue: Volume:2022 Page:1-26
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Eidinejad Zahra¹^ORCID,Saadati Reza¹,Allahviranloo Tofigh²^ORCID,Kiani Farzad²^ORCID,Noeiaghdam Samad³⁴^ORCID,Fernandez-Gamiz Unai⁵^ORCID

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

2. Computer Engineering Department, Engineering Faculty, Fatih Sultan Mehmet Vakif University, Istanbul, Turkey

3. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia

4. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia

5. Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz 01006, Spain

Abstract

In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-valued fuzzy H-Fox function as a control function, we investigate the existence of a unique solution and Hyers–Ulam-H-Fox stability for this equation. Finally, by providing numerical examples, we show the application of the obtained results.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2022/5630187.pdf

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