Conservation Laws, Soliton-Like and Stability Analysis for the Time Fractional Dispersive Long-Wave Equation
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.date.accessioned | 2019-12-20T12:36:22Z | |
| dc.date.accessioned | 2025-09-18T12:06:43Z | |
| dc.date.available | 2019-12-20T12:36:22Z | |
| dc.date.available | 2025-09-18T12:06:43Z | |
| dc.date.issued | 2018 | |
| dc.description | Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | In this manuscript we investigate the time fractional dispersive long wave equation (DLWE) and its corresponding integer order DLWE. The symmetry properties and reductions are derived. We construct the conservation laws (Cls) with Riemann-Liouville (RL) for the time fractional DLWE via a new conservation theorem. The conformable derivative is employed to establish soliton-like solutions for the governing equation by using the generalized projective method (GPM). Moreover, the Cls via the multiplier technique and the stability analysis via the concept of linear stability analysis for the integer order DLWE are established. Some graphical features are presented to explain the physical mechanism of the solutions. | en_US |
| dc.identifier.citation | Yusuf, Abdullahi...et al. (2018). Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1780-y | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85053193004 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1780-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10958 | |
| 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 | Time Fractional Pdes | en_US |
| dc.subject | Rl Fractional Derivative | en_US |
| dc.subject | Cls | en_US |
| dc.subject | Solitons | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | Conservation Laws, Soliton-Like and Stability Analysis for the Time Fractional Dispersive Long-Wave Equation | en_US |
| dc.title | Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa] Firat Univ, Sci Fac, Dept Math, Elazig, Turkey; [Yusuf, Abdullahi; Aliyu, Aliyu Isa] Fed Univ Dutse, Sci Fac, Dept Math, Jigawa, Nigeria; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | RL fractional derivative | |
| gdc.oaire.keywords | Cls | |
| gdc.oaire.keywords | Time fractional PDEs | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Stability analysis | |
| gdc.oaire.keywords | Solitons | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | stability analysis | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Symmetries, invariants, etc. in context of PDEs | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Soliton solutions | |
| gdc.oaire.keywords | solitons | |
| gdc.oaire.keywords | time fractional PDEs | |
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