A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets
| dc.contributor.author | Jassim, Hassan Kamil | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2019-12-27T12:16:58Z | |
| dc.date.accessioned | 2025-09-18T13:27:24Z | |
| dc.date.available | 2019-12-27T12:16:58Z | |
| dc.date.available | 2025-09-18T13:27:24Z | |
| dc.date.issued | 2019 | |
| dc.description | Jassim, Hassan Kamil/0000-0001-5715-7752 | en_US |
| dc.description.abstract | In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a combination of the local fractional Laplace transform (LFLT) and the homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Jassim, Hassan Kamil, "A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets", Fractal and Fractional, Vol. 3, No.2, (June 2019). | en_US |
| dc.identifier.doi | 10.3390/fractalfract3020030 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85074828545 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract3020030 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12929 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Helmholtz Equation | en_US |
| dc.subject | Local Fractional Homotopy Perturbation Method | en_US |
| dc.subject | Local Fractional Laplace Transform | en_US |
| dc.subject | Local Fractional Derivative Operator | en_US |
| dc.title | A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets | en_US |
| dc.title | A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jassim, Hassan Kamil/0000-0001-5715-7752 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jassim, Hassan/X-7743-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Jassim, Hassan Kamil] Univ Thi Qar, Fac Educ Pure Sci, Dept Math, Nasiriyah 64001, Iraq | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 30 | |
| gdc.description.volume | 3 | en_US |
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| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | Helmholtz equation | |
| gdc.oaire.keywords | local fractional Laplace transform | |
| gdc.oaire.keywords | QC310.15-319 | |
| gdc.oaire.keywords | local fractional homotopy perturbation method | |
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