Fen - Edebiyat Fakültesi
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Article Citation - WoS: 4Citation - Scopus: 5The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited(Wiley, 2021) Baleanu, Dumitru; Baleanu, Dumitru; Saadati, Reza; Sousa, Jose; 56389; MatematikIn 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.