A Jacobi Operational Matrix for Solving a Fuzzy Linear Fractional Differential Equation
| dc.contributor.author | Suleiman, Mohamed | |
| dc.contributor.author | Salahshour, Soheil | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ahmadian, Ali | |
| dc.date.accessioned | 2020-04-02T22:06:21Z | |
| dc.date.accessioned | 2025-09-18T13:27:38Z | |
| dc.date.available | 2020-04-02T22:06:21Z | |
| dc.date.available | 2025-09-18T13:27:38Z | |
| dc.date.issued | 2013 | |
| dc.description | Salahshour, Soheil/0000-0003-1390-3551; Ahmadian, Ali/0000-0002-0106-7050 | en_US |
| dc.description.abstract | This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via Jacobi polynomials diminishes its numerical results to the solution of a system of algebraic equations. The main advantage of this method is its high robustness and accuracy gained by a small number of Jacobi functions. The efficiency and applicability of the proposed method are proved by several test examples. | en_US |
| dc.description.sponsorship | Ministry of Higher Education (MOHE), Malaysia [FRGS 02-01-12-1142FR] | en_US |
| dc.description.sponsorship | The authors thank the referees for careful reading and helpful suggestions on the improvement of the manuscript. Also, the research of the first and second authors was partially supported by the Ministry of Higher Education (MOHE), Malaysia, Project FRGS 02-01-12-1142FR. | en_US |
| dc.identifier.citation | Ahmadian, Ali...et al. (20139. "A Jacobi operational matrix for solving a fuzzy linear fractional differential equation", Advances In Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-104 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84880877553 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-104 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12999 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fuzzy Fractional Differential Equation | en_US |
| dc.subject | Caputo-Type Fuzzy Fractional Derivative | en_US |
| dc.subject | Single-Term Caputo Fractional Differential Equation | en_US |
| dc.subject | Jacobi Polynomials | en_US |
| dc.subject | Operational Matrix | en_US |
| dc.title | A Jacobi Operational Matrix for Solving a Fuzzy Linear Fractional Differential Equation | en_US |
| dc.title | A Jacobi Operational Matrix for Solving A Fuzzy Linear Fractional Differential Equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Salahshour, Soheil/0000-0003-1390-3551 | |
| gdc.author.id | Ahmadian, Ali/0000-0002-0106-7050 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Salahshour, Soheil/K-4817-2019 | |
| gdc.author.wosid | Ahmadian, Ali/N-3697-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmadian, Ali; Suleiman, Mohamed] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia; [Salahshour, Soheil] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | Statistics and Probability | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Orthogonal polynomials | |
| gdc.oaire.keywords | Robustness (evolution) | |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Jacobi method | |
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| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | single-term Caputo fractional differential equation | |
| gdc.oaire.keywords | Caputo-type fuzzy fractional derivative | |
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| gdc.oaire.keywords | Applications of hypergeometric functions | |
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