Variational Principles in the Frame of Certain Generalized Fractional Derivatives
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2023-02-13T12:02:33Z | |
| dc.date.accessioned | 2025-09-18T15:44:27Z | |
| dc.date.available | 2023-02-13T12:02:33Z | |
| dc.date.available | 2025-09-18T15:44:27Z | |
| 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.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second 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 | 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.scopus | 2-s2.0-85078877030 | |
| dc.identifier.uri | https://doi.org/10.3934/dcdss.2020038 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14288 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Discrete & Continuous Dynamical Systems - S | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Fractional Derivatives | en_US |
| dc.subject | Generalized Caputo Fractional Derivatives | en_US |
| dc.subject | Integration By Parts | en_US |
| dc.subject | Euler-Lagrange Equations | en_US |
| dc.title | Variational Principles in the Frame of Certain Generalized Fractional Derivatives | en_US |
| dc.title | Variational principles in the frame of certain generalized fractional derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.scopusid | 6508051762 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.yokid | 234808 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan | en_US |
| gdc.description.endpage | 708 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 695 | en_US |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2921086504 | |
| gdc.identifier.wos | WOS:000502831800020 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 3.0 | |
| gdc.oaire.influence | 2.7831712E-9 | |
| gdc.oaire.isgreen | false | |
| 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 | |
| gdc.oaire.popularity | 4.54301E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.fwci | 0.9184492 | |
| gdc.openalex.normalizedpercentile | 0.71 | |
| gdc.opencitations.count | 5 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 15 | |
| gdc.scopus.citedcount | 15 | |
| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.wos.citedcount | 12 | |
| relation.isAuthorOfPublication | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isAuthorOfPublication | ab09a09b-0017-4ffe-a8fe-b9b0499b2c01 | |
| relation.isAuthorOfPublication.latestForDiscovery | c818455d-5734-4abd-8d29-9383dae37406 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |