Mittag–Leffler–Hyers–Ulam Stability of Delay Fractional Differential Equation via Fractional Fourier Transform

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

“…In 2020, Unyong et al [23] studied Ulam stabilities of linear fractional order differential equations in Lizorkin space using the fractional Fourier transform, and in the same year, Hammachukiattikul et al [24] derived some Ulam-Hyers stability outcomes for fractional differential equations. In the next year, Ganesh et al [25] derived some Mittag-Leffler-Hyers-Ulam stability, which makes sure the existence and individuation of an answer for a delay fractional differential equation by using the fractional Fourier transform. In 2022, Ganesh et al [26] carried out pioneering in the field with the Hyers-Ulam stability for fractional order implicit differential equations with two Caputo derivatives using a fractional Fourier transform.…”