Abstract
In this note, we have as main purpose to investigate the Ulam‐Hyers stability of a fractional Volterra integral equation through the Banach fixed point theorem and present an example on Ulam‐Hyers stability using operator theory α‐resolvent in order to elucidate the investigated result. Our results modify the Theorem 4 of Sousa and et. al. [Sousa JVC, Rodrigues FG, Oliveira EC. Stability of the fractional Volterra integro‐differential equation by means of Ψ‐Hilfer operator. Math Meth Appl Sci. 2019;42(9):3033‐3043.] and present a corrected proof with a modified approximation.
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