A New Generalized Laguerre-Gauss Collocation Scheme for Numerical Solution of Generalized Fractional Pantograph Equations
| dc.contributor.author | Bhrawy, A. H. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al-Zahrani, A. A. | |
| dc.contributor.author | Alhamed, Y. A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:49:39Z | |
| dc.date.available | 2025-09-23T12:49:39Z | |
| dc.date.issued | 2014 | |
| dc.description | Alhamed, Yahia/0000-0002-2190-3829 | en_US |
| dc.description.abstract | The manuscript is concerned with a generalization of the fractional pantograph equation which contains a linear functional argument. This type of equation has applications in many branches of physics and engineering. A new spectral collocation scheme is investigated to obtain a numerical solution of this equation with variable coefficients on a semi-infinite domain. This method is based upon the generalized Laguerre polynomials and Gauss quadrature integration. This scheme reduces solving the generalized fractional pantograph equation to a system of algebraic equations. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. | 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 with thanks DSR technical and financial support. | en_US |
| dc.identifier.citation | Bhrawy, A. H...et al. (2014). "A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations", Romanian Journal of Physics, Vol. 59, No. 7-8, pp. 646-657. | en_US |
| dc.identifier.issn | 1221-146X | |
| dc.identifier.scopus | 2-s2.0-84907176565 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15419 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Functional Differential Equations | en_US |
| dc.subject | Fractional Pantograph Equation | en_US |
| dc.subject | Collocation Method | en_US |
| dc.subject | Generalized Laguerre-Gauss Quadrature | en_US |
| dc.subject | Generalized Laguerre Polynomials | en_US |
| dc.title | A New Generalized Laguerre-Gauss Collocation Scheme for Numerical Solution of Generalized Fractional Pantograph Equations | en_US |
| dc.title | A New Generalized Laguerre-Gauss Collocation Scheme For Numerical Solution Of Generalized Fractional Pantograph Equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Alhamed, Yahia/0000-0002-2190-3829 | |
| gdc.author.scopusid | 14319102000 | |
| gdc.author.scopusid | 7003954377 | |
| gdc.author.scopusid | 7801686315 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Bhrawy, Ali/D-4745-2012 | |
| gdc.author.wosid | Al-Zahrani, Abdulrahim/Aaw-5465-2020 | |
| gdc.author.yokid | 56389 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Bhrawy, A. H.] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia; [Bhrawy, A. H.] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt; [Al-Zahrani, A. A.; Alhamed, Y. A.; Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, RO-077125 Magurele, Romania | en_US |
| gdc.description.endpage | 657 | en_US |
| gdc.description.issue | 7-8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 646 | en_US |
| gdc.description.volume | 59 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000342395800004 | |
| gdc.scopus.citedcount | 63 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 59 | |
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