Exact Solution for Nonlinear Local Fractional Partial Differential Equations
| dc.contributor.author | Cherif, Mountassir Hamdi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Belghaba, Kacem | |
| dc.contributor.author | Ziane, Djelloul | |
| dc.date.accessioned | 2021-02-02T11:39:46Z | |
| dc.date.accessioned | 2025-09-18T14:09:12Z | |
| dc.date.available | 2021-02-02T11:39:46Z | |
| dc.date.available | 2025-09-18T14:09:12Z | |
| dc.date.issued | 2020 | |
| dc.description | Hamdi Cherif, Mountassir/0000-0003-3458-1918 | en_US |
| dc.description.abstract | In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples. | en_US |
| dc.identifier.citation | Ziane, Djelloul...et al. (2020). "Exact Solution for Nonlinear Local Fractional Partial Differential Equations", Journal of Applied and Computational Mechanics, Vol. 6, No. 2, pp. 200-208. | en_US |
| dc.identifier.doi | 10.22055/JACM.2019.28835.1509 | |
| dc.identifier.issn | 2383-4536 | |
| dc.identifier.scopus | 2-s2.0-85081754284 | |
| dc.identifier.uri | https://doi.org/10.22055/JACM.2019.28835.1509 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13314 | |
| dc.language.iso | en | en_US |
| dc.publisher | Shahid Chamran Univ Ahvaz, Iran | en_US |
| dc.relation.ispartof | Journal of Applied and Computational Mechanics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Sumudu Transform Method | en_US |
| dc.subject | Local Fractional Derivative Operator | en_US |
| dc.subject | Local Fractional | en_US |
| dc.subject | Nonlinear Local Fractional Gas Dynamics Equation | en_US |
| dc.subject | Nonlinear Local Fractional Klein-Gordon Equation | en_US |
| dc.title | Exact Solution for Nonlinear Local Fractional Partial Differential Equations | en_US |
| dc.title | Exact Solution for Nonlinear Local Fractional Partial Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hamdi Cherif, Mountassir/0000-0003-3458-1918 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ziane, Djelloul; Cherif, Mountassir Hamdi; Belghaba, Kacem] Univ Oran1, Lab Math & Its Applicat LAMAP, Oran, Algeria; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 208 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 200 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Sumudu transform method | |
| gdc.oaire.keywords | Local fractional | |
| gdc.oaire.keywords | Nonlinear local fractional Klein-Gordon equation | |
| gdc.oaire.keywords | Mechanics of engineering. Applied mechanics | |
| gdc.oaire.keywords | Local fractional derivative operator | |
| gdc.oaire.keywords | Adomian decomposition method | |
| gdc.oaire.keywords | Nonlinear local fractional gas dynamics equation | |
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