Variational principles in the frame of certain generalized fractional derivatives
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2023-02-13T12:02:24Z | |
| dc.date.available | 2023-02-13T12:02:24Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion. | en_US |
| dc.identifier.citation | Jarad, Fahd; Abdeljawad, Thabet (2020). "Variational principles in the frame of certain generalized fractional derivatives", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 695-708. | en_US |
| dc.identifier.doi | 10.3934/dcdss.2020038 | |
| dc.identifier.issn | 1937-1632 | |
| dc.identifier.issn | 1937-1179 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/6199 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series S | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Euler-Lagrange Equations | en_US |
| dc.subject | Generalized Caputo Fractional Derivatives | en_US |
| dc.subject | Generalized Fractional Derivatives | en_US |
| dc.subject | Integration By Parts | en_US |
| dc.title | Variational principles in the frame of certain generalized fractional derivatives | tr_TR |
| dc.title | Variational Principles in the Frame of Certain Generalized Fractional Derivatives | en_US |
| dc.type | Review | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.endpage | 708 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 695 | en_US |
| gdc.description.volume | 13 | en_US |
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| gdc.oaire.keywords | generalized Caputo fractional derivatives | |
| gdc.oaire.keywords | Existence theories for optimal control problems involving ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | generalized fractional derivatives | |
| gdc.oaire.keywords | integration by parts | |
| gdc.oaire.keywords | Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Euler-Lagrange equations | |
| gdc.oaire.keywords | Optimality conditions for problems involving ordinary differential equations | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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