Numerical Approach of Fokker-Planck Equation With Caputo-Fabrizio Fractional Derivative Using Ritz Approximation
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Lia, A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Firoozjaee, M. A. | |
| dc.date.accessioned | 2020-03-26T12:20:45Z | |
| dc.date.accessioned | 2025-09-18T13:27:09Z | |
| dc.date.available | 2020-03-26T12:20:45Z | |
| dc.date.available | 2025-09-18T13:27:09Z | |
| dc.date.issued | 2018 | |
| dc.description | Arab Firoozjaee, Mohmmad/0000-0002-3892-6963; Jafari, Hossein/0000-0001-6807-6675 | en_US |
| dc.description.abstract | In this manuscript, a type of Fokker-Planck equation (FPE) with Caputo-Fabrizio fractional derivative is considered. We present a numerical approach which is based on the Ritz method with known basis functions to transform this equation into an optimization problem. It leads to a nonlinear algebraic system. Then, we obtain the coefficients of basis functions by solving the algebraic system. The convergence of this technique is discussed extensively. Three examples are included to show the applicability and validity of this method. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Firoozjaee, M. A...et al. (2018). "Numerical approach of Fokker-Planck equation with Caputo-Fabrizio fractional derivative using Ritz approximation", Journal Of Computational and Applied Mathematics, Vol. 339, pp. 367-373. | en_US |
| dc.identifier.doi | 10.1016/j.cam.2017.05.022 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-85021764155 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2017.05.022 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12843 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Journal of Computational and Applied Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fokker-Planck Equation | en_US |
| dc.subject | Caputo-Fabrizio Fractional Derivative | en_US |
| dc.subject | Basis Functions | en_US |
| dc.title | Numerical Approach of Fokker-Planck Equation With Caputo-Fabrizio Fractional Derivative Using Ritz Approximation | en_US |
| dc.title | Numerical Approach of Fokker-Planck Equation With Caputo-Fabrizio Fractional Derivative Using Ritz Approximation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Arab Firoozjaee, Mohmmad/0000-0002-3892-6963 | |
| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
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| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Firoozjaee, M. A.] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran; [Jafari, H.; Lia, A.] Univ Mazandaran, Dept Math, Babol Sar, Iran; [Jafari, H.; Baleanu, D.] Univ South Africa, Dept Math Sci, UNISA, ZA-0003 Pretoria, South Africa; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 373 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 367 | en_US |
| gdc.description.volume | 339 | en_US |
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| gdc.oaire.keywords | Applications of renewal theory (reliability, demand theory, etc.) | |
| gdc.oaire.keywords | Numerical computation of solutions to systems of equations | |
| gdc.oaire.keywords | Fokker-Planck equation | |
| gdc.oaire.keywords | basis functions | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Fokker-Planck equations | |
| gdc.oaire.keywords | Caputo-Fabrizio fractional derivative | |
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