A Novel Fractional Case Study of Nonlinear Dynamics Via Analytical Approach
| dc.contributor.author | Khan, Hassan | |
| dc.contributor.author | Khan, Adnan | |
| dc.contributor.author | Shah, Rasool | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2025-05-11T17:06:14Z | |
| dc.date.available | 2025-05-11T17:06:14Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | The present work describes the fractional view analysis of Newell-Whitehead-Segal equations, using an innovative technique. The work is carried with the help of the Caputo operator of fractional derivative. The analytical solutions of some numerical examples are presented to confirm the reliability of the proposed method. The derived results are very consistent with the actual solutions to the problems. A graphical representation has been done for the solution of the problems at various fractional-order derivatives. Moreover, the solution in series form has the desired rate of convergence and provides the closed-form solutions. It is noted that the procedure can be modified in other directions for fractional order problems. | en_US |
| dc.identifier.doi | 10.1007/s11766-024-4148-y | |
| dc.identifier.issn | 1005-1031 | |
| dc.identifier.issn | 1993-0445 | |
| dc.identifier.scopus | 2-s2.0-85195798272 | |
| dc.identifier.uri | https://doi.org/10.1007/s11766-024-4148-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9673 | |
| dc.language.iso | en | en_US |
| dc.publisher | Zhejiang Univ Press | en_US |
| dc.relation.ispartof | Applied Mathematics-A Journal of Chinese Universities | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Homotopy Perturbation Method | en_US |
| dc.subject | Shehu Transform | en_US |
| dc.subject | Newell-Whitehead-Segel Equation | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.title | A Novel Fractional Case Study of Nonlinear Dynamics Via Analytical Approach | en_US |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.author.wosid | Shah, Dr. Rasool/Abt-7657-2022 | |
| gdc.author.wosid | Khan, Adnan/Jpw-8672-2023 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hassan; Khan, Adnan; Shah, Rasool] Abdul Wali khan Univ, Dept Math, Mardan 23200, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 290 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 276 | en_US |
| gdc.description.volume | 39 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Caputo operator | |
| gdc.oaire.keywords | Newell-Whitehead-Segel equation | |
| gdc.oaire.keywords | Boundary value problems for systems of nonlinear higher-order PDEs | |
| gdc.oaire.keywords | Shehu transform | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | homotopy perturbation method | |
| gdc.oaire.keywords | Initial value problems for nonlinear higher-order PDEs | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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