The Stability of the Fractional Volterra Integro-Differential Equation by Means of Ψ-Hilfer Operator Revisited
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
BRONZE
Green Open Access
No
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No
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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, Fractional derivatives and integrals, fractional Volterra integral equation, Stability theory for integral equations, fixed point theorem, \( \Psi \)-Hilfer fractional derivative, Ulam-Hyers stability
Fields of Science
0101 mathematics, 01 natural sciences
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
6
Source
Mathematical Methods in the Applied Sciences
Volume
44
Issue
13
Start Page
10905
End Page
10911
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CrossRef : 4
Scopus : 7
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