On the generalized fractional derivatives and their Caputo modification
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2022-11-17T11:34:21Z | |
| dc.date.available | 2022-11-17T11:34:21Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this manuscript, we define the generalized fractional derivative on AC(gamma)(n) [a, b], the space of functions defined on [a, b] such that gamma(n-1) f is an element of AC [a, b], where gamma = x(1-rho) d/dx. We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo version. | en_US |
| dc.identifier.citation | Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (2017). "On the generalized fractional derivatives and their Caputo modification", JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, Vol. 10, No. 5, pp. 2607-2619. | en_US |
| dc.identifier.doi | 10.22436/jnsa.010.05.27 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/5870 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Riemann-Liouville Fractional Derivatives | en_US |
| dc.subject | Caputo Fractional Derivatives | en_US |
| dc.subject | Hadamard Fractional Derivatives | en_US |
| dc.subject | Caputo-Hadamard Fractional Derivatives | en_US |
| dc.subject | Generalized Fractional Integral | en_US |
| dc.subject | Generalized Caputo Fractional Derivatives | en_US |
| dc.title | On the generalized fractional derivatives and their Caputo modification | tr_TR |
| dc.title | On the Generalized Fractional Derivatives and Their Caputo Modification | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.endpage | 2619 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.startpage | 2607 | en_US |
| gdc.description.volume | 10 | en_US |
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| gdc.oaire.keywords | generalized Caputo fractional derivatives | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Caputo fractional derivatives | |
| gdc.oaire.keywords | Hadamard fractional derivatives | |
| gdc.oaire.keywords | Caputo-Hadamard fractional derivatives | |
| gdc.oaire.keywords | generalized fractional integral | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivatives | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Baleanu, Dumitru | |
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