The authors prove Ulam-Hyers and Ulam-Hyers-Rassias stability for mild solutions of a Hilfer fractional abstract Cauchy problem on [0,T] and [0,∞) using the Banach fixed point theorem.
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Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem
The authors prove Ulam-Hyers and Ulam-Hyers-Rassias stability for mild solutions of a Hilfer fractional abstract Cauchy problem on [0,T] and [0,∞) using the Banach fixed point theorem.