Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Sousa, J. Vanterler da C. | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2022-04-21T13:48:10Z | |
| dc.date.accessioned | 2025-09-18T12:09:44Z | |
| dc.date.available | 2022-04-21T13:48:10Z | |
| dc.date.available | 2025-09-18T12:09:44Z | |
| dc.date.issued | 2020 | |
| dc.description | Sousa, Jose Vanterler/0000-0002-6986-948X | en_US |
| dc.description.abstract | In this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous (alpha,beta)-resolvent operator function P-alpha,P-beta(t) and Kuratowski measure of non-compactness in Banach space Omega. | en_US |
| dc.description.sponsorship | [88882.305834/2018-01] | en_US |
| dc.description.sponsorship | We thank Prof. Dr. E. Capelas de Oliveira for fruitful discussions for suggesting several references on the subject, and we are grateful to the anonymous referees for the suggestions that improved the manuscript. J. Vanterler acknowledges the financial support of a PNPDCAPES (process number no. 88882.305834/2018-01) scholarship of the Postgraduate Program in Applied Mathematics of IMECC-Unicamp. | en_US |
| dc.identifier.citation | Sousa, J. Vanterler da C.; Jarad, Fahd; Abdeljawad, Thabet (2021). "Existence of mild solutions to Hilfer fractional evolution equations in Banach space", Annals of Functional Analysis, Vol. 12, No. 1. | en_US |
| dc.identifier.doi | 10.1007/s43034-020-00095-5 | |
| dc.identifier.issn | 2639-7390 | |
| dc.identifier.issn | 2008-8752 | |
| dc.identifier.scopus | 2-s2.0-85096323884 | |
| dc.identifier.uri | https://doi.org/10.1007/s43034-020-00095-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11503 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Annals of Functional Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hilfer Fractional Evolution Equations | en_US |
| dc.subject | Mild Solution | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Equicontinuous (Alpha, Beta)-Resolvent Operator | en_US |
| dc.subject | Kuratowski Measure Of Non-Compactness | en_US |
| dc.title | Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space | en_US |
| dc.title | Existence of mild solutions to Hilfer fractional evolution equations in Banach space | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Sousa, Jose Vanterler/O-4682-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Sousa, J. Vanterler da C.] State Univ Campinas UNICAMP Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 12 | en_US |
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| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | mild solution | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | Kuratowski measure of non-compactness | |
| gdc.oaire.keywords | Hilfer fractional evolution equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Nonlinear differential equations in abstract spaces | |
| gdc.oaire.keywords | Nonlocal and multipoint boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Ordinary differential equations with impulses | |
| gdc.oaire.keywords | equicontinuous \((\alpha,\beta)\)-resolvent operator | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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