On Generalized Fractional Operators and a Gronwall Type Inequality With Applications
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Adjabi, Yassine | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2020-02-27T11:37:42Z | |
| dc.date.accessioned | 2025-09-18T15:43:39Z | |
| dc.date.available | 2020-02-27T11:37:42Z | |
| dc.date.available | 2025-09-18T15:43:39Z | |
| dc.date.issued | 2017 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this paper, we obtain the Gronwall type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators. We apply this inequality to the dependence of the solution of differential equations, involving generalized fractional derivatives, on both the order and the initial conditions. More properties for the generalized fractional operators are formulated and the solutions of initial value problems in certain new weighted spaces of functions are established as well. | en_US |
| dc.description.sponsorship | Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Adjabi, Yassine; Jarad, Fahd; Abdeljawad, Thabet, "On generalized fractional operators and a gronwall type ınequality with applications", Filomat, Vol.31, No.17, pp.5457-5473, (2017). | en_US |
| dc.identifier.doi | 10.2298/FIL1717457A | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issn | 2406-0933 | |
| dc.identifier.scopus | 2-s2.0-85038380752 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL1717457A | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13998 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | Filomat | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized Fractional Derivative | en_US |
| dc.subject | Generalized Gronwall Inequality | en_US |
| dc.subject | Cauchy Problem | en_US |
| dc.title | On Generalized Fractional Operators and a Gronwall Type Inequality With Applications | en_US |
| dc.title | On generalized fractional operators and a gronwall type ınequality with applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Yacine, Adjabi/Aag-4747-2020 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Adjabi, Yassine] Univ Mhamed Bougra, UMBB, Dept Math, Boumerdes, Algeria; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia | en_US |
| gdc.description.endpage | 5473 | en_US |
| gdc.description.issue | 17 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 5457 | en_US |
| gdc.description.volume | 31 | en_US |
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| gdc.oaire.keywords | Cauchy problem | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | generalized Gronwall inequality | |
| gdc.oaire.keywords | Inequalities for sums, series and integrals | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | generalized fractional derivative | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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