On the Approximate Solution of Fractional-Order Whitham-Broer Equations
| dc.contributor.author | Gomez-Aguilar, J. F. | |
| dc.contributor.author | Alderremy, A. A. | |
| dc.contributor.author | Aly, Shaban | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khan, Hassan | |
| dc.date.accessioned | 2022-11-11T11:37:17Z | |
| dc.date.accessioned | 2025-09-18T14:09:07Z | |
| dc.date.available | 2022-11-11T11:37:17Z | |
| dc.date.available | 2025-09-18T14:09:07Z | |
| dc.date.issued | 2021 | |
| dc.description | Alderremy, Aisha/0000-0002-3787-8074 | en_US |
| dc.description.abstract | In this paper, the Homotopy perturbation Laplace method is implemented to investigate the solution of fractional-order Whitham-Broer-Kaup equations. The derivative of fractional-order is described in Caputo's sense. To show the reliability of the suggested method, the solution of certain illustrative examples are presented. The results of the suggested method are shown and explained with the help of its graphical representation. The solutions of fractional-order problems as well as integer-order problems are determined by using the present technique. It has been observed that the obtained solutions are in significant agreement with the actual solutions to the targeted problems. Computationally, it has been analyzed that the solutions at different fractional-orders have a higher rate of convergence to the solution at integer-order of the derivative. Due to the analytical analysis of the problems, this study can further modify the solution of other fractional-order problems. | en_US |
| dc.description.sponsorship | King Khalid University, Saudi Arabia [R.G.P2./99/41]; CONACyT; SNI-CONACyT | en_US |
| dc.description.sponsorship | The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Saudi Arabia for funding this work through Research Groups program under grant number (R.G.P2./99/41). Jose Francisco Gomez Aguilar acknowledges the support provided by CONACyT: catedras CONACyT para jovenes investigadores 2014 and SNI-CONACyT. | en_US |
| dc.identifier.citation | Khan, Hassan...at all (2021). "On the approximate solution of fractional-order Whitham-Broer-Kaup equations", Modern Physics Letters B, Vol. 35, No. 11. | en_US |
| dc.identifier.doi | 10.1142/S021798492150192X | |
| dc.identifier.issn | 0217-9849 | |
| dc.identifier.issn | 1793-6640 | |
| dc.identifier.scopus | 2-s2.0-85101626864 | |
| dc.identifier.uri | https://doi.org/10.1142/S021798492150192X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13285 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Modern Physics Letters B | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Homotopy Perturbation Method | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Whitham-Broer-Kaup Equations | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.title | On the Approximate Solution of Fractional-Order Whitham-Broer Equations | en_US |
| dc.title | On the approximate solution of fractional-order Whitham-Broer-Kaup equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Alderremy, Aisha/0000-0002-3787-8074 | |
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| gdc.author.wosid | Aly, Samar/Aas-8310-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hassan; Gomez-Aguilar, J. F.] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan; [Khan, Hassan] Near East Univ TRNC, Dept Math, Mersin 10, Turkey; [Gomez-Aguilar, J. F.] CENIDET, Tecnol Nacl Mexico, CONACyT, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico; [Alderremy, A. A.; Aly, Shaban] King Khalid Univ, Fac Sci, Dept Math, Abha 61413, Saudi Arabia; [Aly, Shaban] AL Azhar Univ, Fac Sci, Dept Math, Assiut 71516, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.issue | 11 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2150192 | |
| gdc.description.volume | 35 | en_US |
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