An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii Equation
| dc.contributor.author | Prakasha, Doddabhadrappla Gowda | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Veeresha, Pundikala | |
| dc.date.accessioned | 2020-01-13T13:23:46Z | |
| dc.date.accessioned | 2025-09-18T15:44:25Z | |
| dc.date.available | 2020-01-13T13:23:46Z | |
| dc.date.available | 2025-09-18T15:44:25Z | |
| dc.date.issued | 2019 | |
| dc.description | Veeresha, Dr. P./0000-0002-4468-3048; D G, Prakasha/0000-0001-6453-0308 | en_US |
| dc.description.abstract | The q-homotopy analysis transform method (q-HATM) is employed to find the solution for the fractional Kolmogorov-Petrovskii-Piskunov (FKPP) equation in the present frame work. To ensure the applicability and efficiency of the proposed algorithm, we consider three distinct initial conditions with two of them having Jacobi elliptic functions. The numerical simulations have been conducted to verify that the proposed scheme is reliable and accurate. Moreover, the uniqueness and convergence analysis for the projected problem is also presented. The obtained results elucidate that the proposed technique is easy to implement and very effective to analyze the complex problems arising in science and technology. | en_US |
| dc.identifier.citation | Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru, "An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equation",Mathematics, Vol. 7, No.3, (March 2019) | en_US |
| dc.identifier.doi | 10.3390/math7030265 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85063889193 | |
| dc.identifier.uri | https://doi.org/10.3390/math7030265 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14262 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Q-Homotopy Analysis Transform Method | en_US |
| dc.subject | Fractional Kolmogorov-Petrovskii-Piskunov Equation | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.title | An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii Equation | en_US |
| dc.title | An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov-Petrovskii-Piskunov Equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Veeresha, Dr. P./0000-0002-4468-3048 | |
| gdc.author.id | D G, Prakasha/0000-0001-6453-0308 | |
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| gdc.author.wosid | D. G., Prakasha/Aaa-5551-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Veeresha, Dr. P./Z-1430-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda] Karnatak Univ, Dept Math, Fac Sci & Technol, Dharwad 580003, Karnataka, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Fac Arts & Sci, Eskisehir Yolu 29 Km,Yukariyurtcu Mahallesi, TR-406790 Etimesgut, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 265 | |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | q-homotopy analysis transform method | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | fractional Kolmogorov–Petrovskii–Piskunov equation | |
| gdc.oaire.keywords | <i>q</i>-homotopy analysis transform method | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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