The Stability of the Fractional Volterra Integro-Differential Equation by Means of Ψ-Hilfer Operator Revisited
| dc.contributor.author | Saadati, Reza | |
| dc.contributor.author | Sousa, Jose | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2023-02-09T06:42:48Z | |
| dc.date.accessioned | 2025-09-18T15:44:45Z | |
| dc.date.available | 2023-02-09T06:42:48Z | |
| dc.date.available | 2025-09-18T15:44:45Z | |
| dc.date.issued | 2021 | |
| dc.description | Sousa, Jose Vanterler/0000-0002-6986-948X | en_US |
| 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 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. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1002/mma.7348 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85102623142 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.7348 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14379 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Fractional Volterra Integral Equation | en_US |
| dc.subject | Ulam‐ | en_US |
| dc.subject | Hyers Stability | en_US |
| dc.subject | Ψ | en_US |
| dc.subject | ‐ | en_US |
| dc.subject | Hilfer Fractional Derivative | en_US |
| dc.title | The Stability of the Fractional Volterra Integro-Differential Equation by Means of Ψ-Hilfer Operator Revisited | en_US |
| dc.title | The stability of the fractional Volterra integro-differential equation by means of Ψ-Hilfer operator revisited | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Sousa, Jose Vanterler/0000-0002-6986-948X | |
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| gdc.author.wosid | Saadati, Reza/C-6330-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Sousa, Jose Vanterler/O-4682-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Saadati, Reza] Iran Univ Sci & Technol, Dept Math, Tehran, Iran; [Sousa, Jose] Imecc State Univ Campinas, Dept Appl Math, Campinas, Brazil | en_US |
| gdc.description.endpage | 10911 | en_US |
| gdc.description.issue | 13 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 10905 | en_US |
| gdc.description.volume | 44 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional Volterra integral equation | |
| gdc.oaire.keywords | Stability theory for integral equations | |
| gdc.oaire.keywords | fixed point theorem | |
| gdc.oaire.keywords | \( \Psi \)-Hilfer fractional derivative | |
| gdc.oaire.keywords | Ulam-Hyers stability | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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