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

Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Farzad Kiani, Samad Noeiaghdam, Unai Fernandez-Gamiz and Abdellatif Ben Makhlouf

Complexity, 2022, vol. 2022, 1-26

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5630187

DOI: 10.1155/2022/5630187

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