Bivariate Chebyshev Polynomials of the Fifth Kind for Variable-Order Time-Fractional Partial Integro-Differential Equations With Weakly Singular Kernel
| dc.contributor.author | Hosseini, Kamyar | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ahmadian, Ali | |
| dc.contributor.author | Salahshour, Soheil | |
| dc.contributor.author | Sadri, Khadijeh | |
| dc.date.accessioned | 2022-03-23T11:57:03Z | |
| dc.date.accessioned | 2025-09-18T16:07:30Z | |
| dc.date.available | 2022-03-23T11:57:03Z | |
| dc.date.available | 2025-09-18T16:07:30Z | |
| dc.date.issued | 2021 | |
| dc.description | Salahshour, Soheil/0000-0003-1390-3551; Sadri Khatouni, Khadijeh/0000-0001-6083-9527; Ahmadian, Ali/0000-0002-0106-7050 | en_US |
| dc.description.abstract | The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro-differential equations (VTFWSPIDEs). A pseudo-operational matrix (POM) approach is developed for the numerical solution of the problem under study. The suggested method changes solving the VTFWSPIDE into the solution of a system of linear algebraic equations. Error bounds of the approximate solutions are obtained, and the application of the proposed scheme is examined on five problems. The results confirm the applicability and high accuracy of the method for the numerical solution of fractional singular partial integro-differential equations. | en_US |
| dc.identifier.citation | Sadri, Khadijeh...et al. (2021). "Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03507-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85111545290 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03507-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14769 | |
| 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 | Variable-Order Time-Fractional Weakly Singular Partial Integro-Differential Equations | en_US |
| dc.subject | Pseudo-Operational Matrix | en_US |
| dc.subject | Fifth-Kind Chebyshev Polynomials | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Riemann-Liouville Integral | en_US |
| dc.title | Bivariate Chebyshev Polynomials of the Fifth Kind for Variable-Order Time-Fractional Partial Integro-Differential Equations With Weakly Singular Kernel | en_US |
| dc.title | Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Salahshour, Soheil/0000-0003-1390-3551 | |
| gdc.author.id | Sadri Khatouni, Khadijeh/0000-0001-6083-9527 | |
| gdc.author.id | Ahmadian, Ali/0000-0002-0106-7050 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hosseini, Kamyar/J-7345-2019 | |
| gdc.author.wosid | Salahshour, Soheil/K-4817-2019 | |
| gdc.author.wosid | Sadri, Khadijeh/Jwa-5374-2024 | |
| gdc.author.wosid | Ahmadian, Ali/N-3697-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Sadri, Khadijeh; Hosseini, Kamyar] Islamic Azad Univ, Rasht Branch, Dept Math, POB 41335-3516, Rasht, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40447, Taiwan; [Ahmadian, Ali] Natl Univ Malaysia, Inst IR 4 0, Bangi 43600, Selangor, Malaysia; [Salahshour, Soheil] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey | en_US |
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