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.
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