The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
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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 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.
Description
Sousa, Jose Vanterler/0000-0002-6986-948X
ORCID
Keywords
Fixed Point Theorem, Fractional Volterra Integral Equation, Ulam‐, Hyers Stability, Ψ, ‐, Hilfer Fractional Derivative
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Citation
Baleanu, 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.
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Q1
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Q1
Source
Volume
44
Issue
13
Start Page
10905
End Page
10911