Numerical Investigation of Ordinary and Partial Differential Equations With Variable Fractional Order by Bernstein Operational Matrix
| dc.contributor.author | Alipour, M. | |
| dc.contributor.author | Babakhani, A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Taleshian, A.H. | |
| dc.date.accessioned | 2024-04-29T12:19:24Z | |
| dc.date.accessioned | 2025-09-18T12:10:09Z | |
| dc.date.available | 2024-04-29T12:19:24Z | |
| dc.date.available | 2025-09-18T12:10:09Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | This research proposes a method to find numerical solutions of the variable-order fractional differential equation. We derived new operational matrix by applying Bernstein polynomials. Then, using this matrix, the method of solving the system of variable-order fractional differential equation and variable-order fractional partial differential equation are presented. Various numerical examples of these problems are provided along with the figures and tables. Finally, the accuracy of the proposed method is evaluated. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited. | en_US |
| dc.identifier.citation | Taleshian, Amir Hose;...et.al. (2022). "Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix", International Journal of Applied and Computational Mathematics, Vol.8, No.6. | en_US |
| dc.identifier.doi | 10.1007/s40819-022-01475-2 | |
| dc.identifier.issn | 2349-5103 | |
| dc.identifier.issn | 2199-5796 | |
| dc.identifier.scopus | 2-s2.0-85140605747 | |
| dc.identifier.uri | https://doi.org/10.1007/s40819-022-01475-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11636 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | International Journal of Applied and Computational Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bernstein Polynomials | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.subject | Partial Differential Equation Problems | en_US |
| dc.subject | Riemann-Liouville Fractional Derivative And Integral | en_US |
| dc.subject | System Of Nonlinear Differential Equations Problems | en_US |
| dc.subject | Variable Order Fractional Differential Equations | en_US |
| dc.title | Numerical Investigation of Ordinary and Partial Differential Equations With Variable Fractional Order by Bernstein Operational Matrix | en_US |
| dc.title | Numerical Investigation of Ordinary and Partial Differential Equations with Variable Fractional Order by Bernstein Operational Matrix | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Taleshian A.H., Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran; Alipour M., Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran; Babakhani A., Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167, Iran; Baleanu D., Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Balgat, 06530, Turkey, Institute of Space Sciences, Maguerele-Bucharest, Romania | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | operational matrix | |
| gdc.oaire.keywords | variable-order fractional differential equations | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Bernstein polynomials | |
| gdc.oaire.keywords | partial differential equation problems | |
| gdc.oaire.keywords | system of nonlinear differential equations problems | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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