A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line
| dc.contributor.author | AlZahrani, Abdulrahim | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alhamed, Yahia | |
| dc.contributor.author | Bhrawy, Ali H. | |
| dc.date.accessioned | 2020-04-27T14:50:23Z | |
| dc.date.accessioned | 2025-09-18T12:47:29Z | |
| dc.date.available | 2020-04-27T14:50:23Z | |
| dc.date.available | 2025-09-18T12:47:29Z | |
| dc.date.issued | 2014 | |
| dc.description | Alhamed, Yahia/0000-0002-2190-3829 | en_US |
| dc.description.abstract | The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line. The proposed technique is based on modified generalized Laguerre polynomials and Gauss quadrature integration of such polynomials. The main advantage of the present method is to reduce the solution of fractional neutral functional-differential equations into a system of algebraic equations. Reasonable numerical results are achieved by choosing few modified generalized Laguerre-Gauss collocation points. Numerical results demonstrate the accuracy, efficiency, and versatility of the proposed method on the half-line. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [4-135-35-RG]; DSR | en_US |
| dc.description.sponsorship | This paper was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under Grant no. (4-135-35-RG). The authors, therefore, acknowledge DSR technical and financial support. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2014). "A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line", Abstract and Applied Analysis. | en_US |
| dc.identifier.doi | 10.1155/2014/692193 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
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| dc.identifier.uri | https://doi.org/10.1155/2014/692193 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11819 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line | en_US |
| dc.title | A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Al-Zahrani, Abdulrahim/Aaw-5465-2020 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bhrawy, Ali H.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21413, Saudi Arabia; [Bhrawy, Ali H.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [AlZahrani, Abdulrahim; Baleanu, Dumitru; Alhamed, Yahia] King Abdulaziz Univ, Fac Engn, Chem & Mat Engn Dept, Jeddah 21413, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania | en_US |
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| gdc.oaire.keywords | Orthogonal polynomials | |
| gdc.oaire.keywords | Collocation (remote sensing) | |
| gdc.oaire.keywords | Quadrature (astronomy) | |
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| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
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