The Invariant Subspace Method for Solving Nonlinear Fractional Partial Differential Equations With Generalized Fractional Derivatives
| dc.contributor.author | Kader, Abass H. Abdel | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Latif, Mohamed S. Abdel | |
| dc.date.accessioned | 2021-01-29T11:15:07Z | |
| dc.date.accessioned | 2025-09-18T16:08:42Z | |
| dc.date.available | 2021-01-29T11:15:07Z | |
| dc.date.available | 2025-09-18T16:08:42Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdel Kader, Abass/0000-0002-9658-1430; Abdel Latif, Mohamed/0000-0002-9013-1017 | en_US |
| dc.description.abstract | In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact solutions have been obtained for the time fractional Hunter-Saxton equation, a time fractional nonlinear diffusion equation, a time fractional thin-film equation, the fractional Whitman-Broer-Kaup-type equation, and a system of time fractional diffusion equations. | en_US |
| dc.identifier.citation | Latif, Mohamed S. Abdel; Kader, Abass H. Abdel; Baleanu, Dumitru (2020). "The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02553-9 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85081742358 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02553-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15145 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Generalized Fractional Derivative | en_US |
| dc.subject | Invariant Subspace Method | en_US |
| dc.title | The Invariant Subspace Method for Solving Nonlinear Fractional Partial Differential Equations With Generalized Fractional Derivatives | en_US |
| dc.title | The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdel Kader, Abass/0000-0002-9658-1430 | |
| gdc.author.id | Abdel Latif, Mohamed/0000-0002-9013-1017 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdel Kader, Abass/G-3875-2017 | |
| gdc.author.wosid | Abdel Latif, Mohamed/S-6583-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Latif, Mohamed S. Abdel; Kader, Abass H. Abdel] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura, Egypt; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Invariant subspace | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Generalized fractional derivative | |
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| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Invariant subspace method | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Linear subspace | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Derivative-Free Methods | |
| gdc.oaire.keywords | Invariant (physics) | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.keywords | Thin films | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | invariant subspace method | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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