On the Mathematical Model of Rabies by Using the Fractional Caputo-Fabrizio Derivative
| dc.contributor.author | Aydogan, Seher Melike | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.date.accessioned | 2020-12-31T11:28:28Z | |
| dc.date.accessioned | 2025-09-18T12:06:28Z | |
| dc.date.available | 2020-12-31T11:28:28Z | |
| dc.date.available | 2025-09-18T12:06:28Z | |
| dc.date.issued | 2020 | |
| dc.description | Rezapour, Shahram/0000-0003-3463-2607; Aydogan, Melike/0000-0002-4822-9571; Mohammadi, Hakimeh/0000-0002-7492-9782 | en_US |
| dc.description.abstract | Using the fractional Caputo-Fabrizio derivative, we investigate a new version of the mathematical model of Rabies disease. Using fixed point results, we prove the existence of a unique solution. We calculate the equilibrium points and check the stability of solutions. We solve the equation by combining the Laplace transform and Adomian decomposition method. In numerical results, we investigate the effect of coefficients on the number of infected groups. We also examine the effect of derivation orders on the behavior of functions and make a comparison between the results of the integer-order derivative and the Caputo and Caputo-Fabrizio fractional-order derivatives. | en_US |
| dc.description.sponsorship | Azarbaijan Shahid Madani University; Miandoab Branch, Islamic Azad University | en_US |
| dc.description.sponsorship | Research of the fourth author was supported by Azarbaijan Shahid Madani University. Also, research of the third author was supported by Miandoab Branch, Islamic Azad University. The authors are thankful to dear referees for their valuable comments which basically improved the final version of this work. | en_US |
| dc.identifier.citation | Aydoğan, Seher Melike...et al. (2020). "On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02798-4 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85088587043 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02798-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10916 | |
| 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 | Adomian Decomposition Method | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.subject | Rabies Model | en_US |
| dc.subject | The Caputo-Fabrizio Fractional Derivative | en_US |
| dc.title | On the Mathematical Model of Rabies by Using the Fractional Caputo-Fabrizio Derivative | en_US |
| dc.title | On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rezapour, Shahram/0000-0003-3463-2607 | |
| gdc.author.id | Aydogan, Melike/0000-0002-4822-9571 | |
| gdc.author.id | Mohammadi, Hakimeh/0000-0002-7492-9782 | |
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| gdc.author.wosid | Aydogan, S./Aax-1100-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Mohammadi, Hakimeh/Aan-4604-2021 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Aydogan, Seher Melike] Istanbul Tech Univ, Dept Math, Oretmenler Cad 14, TR-06530 Istanbul, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Mohammadi, Hakimeh] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran; [Rezapour, Shahram] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam; [Rezapour, Shahram] Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam; [Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
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