On Hyers–Ulam Stability for Fractional Differential Equations Including the New Caputo–Fabrizio Fractional Derivative

A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations

“…On the other hand, (21) implies that (20) is also Hyers-Ulam stable even for τ = +∞, which shows that ( [27], Remark 2.7) is not suitable. Example 2.…”

“…Recently, Başcı et al [27] applied the Laplace transform method to study the Hyers-Ulam stability of the following linear differential equations with Caputo-Fabrizio fractional derivative (see Definition 1):…”

On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative

“…In [5] Başci et al studied the stability of some differential equations in the sense of Hyers-Ulam. In [7] the authors investigated the Hyers-Ulam stability for fractional differential equations including the new Caputo-Fabrizio fractional derivative. In [6] the Hyers-Ulam-Rassias stability for Abel-Riccati-type first-order differential equations has been investigated and in [25] the author studied the stability of delay differential equations in the sense of Hyers-Ulam on unbounded intervals.…”

On Ulam’s type stability criteria for fractional integral equations including Hadamard type singular kernel

“…The applications of fractional calculus has been observed in almost every field of sciences, such as mechanics, electricity, biology, economics, physics, biophysics, control theory, signal processing and image processing (see [13,25,30,31,33]). In recent years, the HU stability of various fractional differential equations has been widely studied (see [5,7,14,19,20,24,[38][39][40]).…”