New Recursive Approximations for Variable-Order Fractional Operators With Applications
| dc.contributor.author | Doha, Eid H. | |
| dc.contributor.author | Taha, Taha M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zaky, Mahmoud A. | |
| dc.date.accessioned | 2019-12-25T11:39:36Z | |
| dc.date.accessioned | 2025-09-18T12:09:53Z | |
| dc.date.available | 2019-12-25T11:39:36Z | |
| dc.date.available | 2025-09-18T12:09:53Z | |
| dc.date.issued | 2018 | |
| dc.description | Zaky, Mahmoud/0000-0002-3376-7238 | en_US |
| dc.description.abstract | To broaden the range of applicability of variable-order fractional differential models, reliable numerical approaches are needed to solve the model equation. In this paper, we develop Laguerre spectral collocation methods for solving variable-order fractional initial value problems on the half line. Specifically, we derive three-term recurrence relations to efficiently calculate the variable-order fractional integrals and derivatives of the modified generalized Laguerre polynomials, which lead to the corresponding fractional differentiation matrices that will be used to construct the collocation methods. Comparison with other existing methods shows the superior accuracy of the proposed spectral collocation methods. | en_US |
| dc.identifier.citation | Zaky, Mahmoud A...et al. (2018). "New Recursive Approximations for Variable-Order Fractional Operators with Applications", Mathematical Modelling and Analysis, Vol. 23, No. 2, pp. 227-239. | en_US |
| dc.identifier.doi | 10.3846/mma.2018.015 | |
| dc.identifier.issn | 1392-6292 | |
| dc.identifier.issn | 1648-3510 | |
| dc.identifier.scopus | 2-s2.0-85046997625 | |
| dc.identifier.uri | https://doi.org/10.3846/mma.2018.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11549 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vilnius Gediminas Tech Univ | en_US |
| dc.relation.ispartof | Mathematical Modelling and Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Spectral Collocation Methods | en_US |
| dc.subject | Modified Generalized Laguerre Polynomials | en_US |
| dc.subject | Variable Order Fractional Integrals And Derivatives | en_US |
| dc.subject | Bagley-Torvik Equation | en_US |
| dc.title | New Recursive Approximations for Variable-Order Fractional Operators With Applications | en_US |
| dc.title | New Recursive Approximations for Variable-Order Fractional Operators with Applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Zaky, Mahmoud/0000-0002-3376-7238 | |
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| gdc.author.wosid | Doha, Eid/L-1723-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Zaky, Mahmoud/B-2797-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zaky, Mahmoud A.] Natl Res Ctr, Dept Appl Math, Giza 12622, Egypt; [Doha, Eid H.] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt; [Taha, Taha M.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 239 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 227 | en_US |
| gdc.description.volume | 23 | en_US |
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| gdc.oaire.keywords | variable order fractional integrals and derivatives | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Collocation (remote sensing) | |
| gdc.oaire.keywords | Matrix Valued Polynomials | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Orthogonal Polynomials | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Orthogonal collocation | |
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| gdc.oaire.keywords | modified generalized Laguerre polynomials | |
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| gdc.oaire.keywords | spectral collocation methods | |
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| gdc.oaire.keywords | modified generalized Laguerre polynomials | |
| gdc.oaire.keywords | variable order fractional integrals | |
| gdc.oaire.keywords | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Numerical approximation and computational geometry (primarily algorithms) | |
| gdc.oaire.keywords | derivatives | |
| gdc.oaire.keywords | Spectral, collocation and related methods for boundary value problems involving PDEs | |
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