A Chebyshev Spectral Method Based on Operational Matrix for Fractional Differential Equations Involving Non-Singular Mittag-Leffler Kernel
| dc.contributor.author | Shiri, B. | |
| dc.contributor.author | Srivastava, H. M. | |
| dc.contributor.author | Al Qurashi, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2019-12-20T12:36:07Z | |
| dc.date.accessioned | 2025-09-18T12:47:28Z | |
| dc.date.available | 2019-12-20T12:36:07Z | |
| dc.date.available | 2025-09-18T12:47:28Z | |
| dc.date.issued | 2018 | |
| dc.description | Shiri, Babak/0000-0003-2249-282X | en_US |
| dc.description.abstract | In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain the necessary operational matrix of fractional integral using the Clenshaw-Curtis formula. By applying the operational matrix, we obtain a system of linear algebraic equations. The approximate solution is computed by solving this system. The regularity of the solution investigated and a convergence analysis is provided. Numerical examples are provided to show the effectiveness and efficiency of the method. | en_US |
| dc.identifier.citation | Baleanu, D...et al. (2018). A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1822-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85054485351 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1822-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11814 | |
| 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 | Chebyshev Polynomials | en_US |
| dc.subject | System Of Fractional Differential Equations | en_US |
| dc.subject | Operational Matrices | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Clenshaw-Curtis Formula | en_US |
| dc.title | A Chebyshev Spectral Method Based on Operational Matrix for Fractional Differential Equations Involving Non-Singular Mittag-Leffler Kernel | en_US |
| dc.title | A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Srivastava, Hari/N-9532-2013 | |
| gdc.author.wosid | Shiri, Babak/T-7172-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Shiri, B.] Univ Tabriz, Fac Math Sci, Tabriz, Iran; [Srivastava, H. M.] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada; [Srivastava, H. M.] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Al Qurashi, M.] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
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| gdc.oaire.keywords | Operational matrices | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Orthogonal polynomials | |
| gdc.oaire.keywords | Matrix (chemical analysis) | |
| gdc.oaire.keywords | Chebyshev pseudospectral method | |
| gdc.oaire.keywords | System of fractional differential equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
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| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Chebyshev filter | |
| gdc.oaire.keywords | Spectral method | |
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| gdc.oaire.keywords | Classical orthogonal polynomials | |
| gdc.oaire.keywords | Chebyshev equation | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Algebraic equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
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