Baleanu, DumitruBaleanu, DumitruSaadati, RezaSousa, JoseMatematik2023-02-092023-02-092021Baleanu, Dumitru; Saadati, Reza; Sousa, José (2021). "The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited", Mathematical Methods in the Applied Sciences, Vol. 44, No. 13, pp. 10905-10911.0170-42141099-1476https://doi.org/10.1002/mma.7348Sousa, Jose Vanterler/0000-0002-6986-948XIn 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 alpha-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 psi-Hilfer operator. Math Meth Appl Sci. 2019;42(9):3033-3043.] and present a corrected proof with a modified approximation.eninfo:eu-repo/semantics/openAccessFixed Point TheoremFractional Volterra Integral EquationUlam‐Hyers StabilityΨ‐Hilfer Fractional DerivativeThe stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisitedThe Stability of the Fractional Volterra Integro-Differential Equation by Means of Ψ-Hilfer Operator RevisitedArticle4413109051091110.1002/mma.73482-s2.0-85102623142WOS:000630031400001Q1Q1