Abundant Distinct Types of Solutions for the Nervous Biological Fractional Fitzhugh-Nagumo Equation Via Three Different Sorts of Schemes
| dc.contributor.author | Khater, Mostafa M. A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khalil, E. M. | |
| dc.contributor.author | Bouslimi, Jamel | |
| dc.contributor.author | Omri, M. | |
| dc.contributor.author | Abdel-Aty, Abdel-Haleem | |
| dc.date.accessioned | 2022-03-09T12:32:28Z | |
| dc.date.accessioned | 2025-09-18T16:07:12Z | |
| dc.date.available | 2022-03-09T12:32:28Z | |
| dc.date.available | 2025-09-18T16:07:12Z | |
| dc.date.issued | 2020 | |
| dc.description | Khalil, Eied/0009-0005-9377-5861; M. A. Khater, Mostafa/0000-0001-8466-168X; Khalil, Eied/0000-0003-0189-845X | en_US |
| dc.description.abstract | The dynamical attitude of the transmission for the nerve impulses of a nervous system, which is mathematically formulated by the Atangana-Baleanu (AB) time-fractional FitzHugh-Nagumo (FN) equation, is computationally and numerically investigated via two distinct schemes. These schemes are the improved Riccati expansion method and B-spline schemes. Additionally, the stability behavior of the analytical evaluated solutions is illustrated based on the characteristics of the Hamiltonian to explain the applicability of them in the model's applications. Also, the physical and dynamical behaviors of the gained solutions are clarified by sketching them in three different types of plots. The practical side and power of applied methods are shown to explain their ability to use on many other nonlinear evaluation equations. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [D-672-305-1441]; DSR | en_US |
| dc.description.sponsorship | This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-672-305-1441). The authors, therefore, gratefully acknowledge DSR technical and financial support. | en_US |
| dc.identifier.citation | Abdel-Aty, Abdel-Haleem...et al. (2020). "Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02852-1 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85090330348 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02852-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14690 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Atangana-Baleanu (Ab) Fractional Operator | en_US |
| dc.subject | Fitzhugh-Nagumo (Fn) Equation | en_US |
| dc.subject | Analytical And Numerical Solutions | en_US |
| dc.subject | Stability Characteristic | en_US |
| dc.subject | 35E05 | en_US |
| dc.subject | 35C08 | en_US |
| dc.subject | 35Q51 | en_US |
| dc.subject | 37L50 | en_US |
| dc.title | Abundant Distinct Types of Solutions for the Nervous Biological Fractional Fitzhugh-Nagumo Equation Via Three Different Sorts of Schemes | en_US |
| dc.title | Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Khalil, Eied/0009-0005-9377-5861 | |
| gdc.author.id | M. A. Khater, Mostafa/0000-0001-8466-168X | |
| gdc.author.id | Khalil, Eied/0000-0003-0189-845X | |
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| gdc.author.wosid | Omri, Mohamed/N-4035-2015 | |
| gdc.author.wosid | Khalil, Eied/Caj-4162-2022 | |
| gdc.author.wosid | Abdel-Aty, Abdel-Haleem/F-7948-2016 | |
| gdc.author.wosid | Bouslimi, Jamel/Gvs-9024-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalil, Eied/Gqq-5234-2022 | |
| gdc.author.wosid | M. A. Khater, Mostafa/Aal-3097-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdel-Aty, Abdel-Haleem] Univ Bisha, Dept Phys, Coll Sci, POB 344, Bisha 61922, Saudi Arabia; [Abdel-Aty, Abdel-Haleem] Al Azhar Univ, Phys Dept, Fac Sci, Assiut 71524, Egypt; [Khater, Mostafa M. A.] Jiangsu Univ, Dept Math, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China; [Khater, Mostafa M. A.] Obour Inst, Dept Math, Cairo 11828, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Khalil, E. M.] Taif Univ, Dept Math, Fac Sci, At Taif 888, Saudi Arabia; [Bouslimi, Jamel] Carthage Univ, Natl Inst Appl Sci & Technol, Dept Engn Phys & Instrumentat, Tunis, Tunisia; [Bouslimi, Jamel] Taif Univ, Dept Phys, Fac Sci, At Taif 888, Saudi Arabia; [Omri, M.] King Abdulaziz Univ, Deanship Sci Res, Jeddah, Saudi Arabia | en_US |
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