On stability for nonlinear implicit fractional differential equations

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Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, unknown): “From inequalities (33) and (34) and the definition of r given in Equation (30), we obtain ‖Px + Qy‖C2−ξ; Ψ (J, R) ≤ A + B = rσ + ζ ≤ r.”
Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator (2018, background): “Also, several investigators used the fractional derivatives and studied the stability of Ulam-Hyers and Ulam-Hyers-Rassias [27, 28, 29].”
On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ψ-Hilfer operator (2017, methodology): “2, we obtain the stability of Ulam–Hyers and Ulam–Hyers–Rassias for the Cauchy problem with the Caputo fractional derivative [40].”
Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations (2018, background): “Afterwards, with the wide expansion of the FC, the study of stability by means of fractional derivatives, has attracted the attention of the specialized community [33, 34, 35, 36, 37, 38].”