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The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Saadati, Reza
dc.contributor.author Sousa, José
dc.date.accessioned 2023-02-09T06:42:48Z
dc.date.available 2023-02-09T06:42:48Z
dc.date.issued 2021-09-15
dc.identifier.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. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/6158
dc.description.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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7348 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Fractional Volterra Integral Equation tr_TR
dc.subject Ulam-Hyers Stability tr_TR
dc.subject Ψ-Hilfer Fractional Derivative tr_TR
dc.title The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited tr_TR
dc.type letter tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 44 tr_TR
dc.identifier.issue 13 tr_TR
dc.identifier.startpage 10905 tr_TR
dc.identifier.endpage 10911 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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