Approximate Analytical Solutions of Goursat Problem Within Local Fractional Operators
| dc.contributor.author | Jassim, Hassan Kamil | |
| dc.contributor.author | Al Qurashi, Maysaa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-13T20:05:46Z | |
| dc.date.accessioned | 2025-09-18T14:08:52Z | |
| dc.date.available | 2020-04-13T20:05:46Z | |
| dc.date.available | 2025-09-18T14:08:52Z | |
| dc.date.issued | 2016 | |
| dc.description | Jassim, Hassan Kamil/0000-0001-5715-7752 | en_US |
| dc.description.abstract | The local fractional differential transform method (LFDTM) and local fractional decomposition method (LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local fractional derivative operators. The approximate analytical solution of this problem is calculated in form of a series with easily computable components. Examples are studied in order to show the accuracy and reliability of presented methods. We demonstrate that the two approaches are very effective and convenient for finding the analytical solutions of partial differential equations with local fractional derivative operators. (C) 2016 All rights reserved. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Jassim, Hassan Kamil; Al Qurashi, Maysaa, "Approximate analytical solutions of Goursat problem within local fractional operators", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 6, pp. 4829-4837, (2016). | en_US |
| dc.identifier.doi | 10.22436/jnsa.009.06.118 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.scopus | 2-s2.0-84990064330 | |
| dc.identifier.uri | https://doi.org/10.22436/jnsa.009.06.118 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13235 | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.ispartof | Journal of Nonlinear Sciences and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Goursat Problem | en_US |
| dc.subject | Local Fractional Differential Transform Method | en_US |
| dc.subject | Local Fractional Decomposition Method | en_US |
| dc.subject | Analytical Solutions | en_US |
| dc.subject | Local Fractional Derivative Operators | en_US |
| dc.title | Approximate Analytical Solutions of Goursat Problem Within Local Fractional Operators | en_US |
| dc.title | Approximate analytical solutions of Goursat problem within local fractional operators | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Jassim, Hassan Kamil/0000-0001-5715-7752 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56020904800 | |
| gdc.author.scopusid | 57045880100 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jassim, Hassan/X-7743-2019 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| 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 | [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Jassim, Hassan Kamil] Univ Thi Qar, Fac Educ Pure Sci, Dept Math, Nasiriyah, Iraq; [Al Qurashi, Maysaa] King Saud Univ, Coll Sci, Dept Math, Ryad, Saudi Arabia | en_US |
| gdc.description.endpage | 4837 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 4829 | en_US |
| gdc.description.volume | 9 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W2789935553 | |
| gdc.identifier.wos | WOS:000386871300118 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 7.0 | |
| gdc.oaire.influence | 4.5888675E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Goursat problem | |
| gdc.oaire.keywords | analytical solutions | |
| gdc.oaire.keywords | local fractional differential transform method | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | local fractional derivative operators | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | local fractional decomposition method | |
| gdc.oaire.keywords | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics | |
| gdc.oaire.popularity | 2.001372E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0211 other engineering and technologies | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 6.4415 | |
| gdc.openalex.normalizedpercentile | 0.97 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 27 | |
| gdc.plumx.mendeley | 7 | |
| gdc.plumx.scopuscites | 47 | |
| gdc.scopus.citedcount | 50 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 26 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| 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 |