A New Numerical Treatment for Fractional Differential Equations Based on Non-Discretization of Data Using Laguerre Polynomials
| dc.contributor.author | Arfan, Muhammad | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Khan, Adnan | |
| dc.contributor.author | Shah, Kamal | |
| dc.date.accessioned | 2022-03-01T11:58:28Z | |
| dc.date.accessioned | 2025-09-18T15:43:11Z | |
| dc.date.available | 2022-03-01T11:58:28Z | |
| dc.date.available | 2025-09-18T15:43:11Z | |
| dc.date.issued | 2020 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this research work, we discuss an approximation techniques for boundary value problems (BVPs) of differential equations having fractional order (FODE). We avoid the method from discretization of data by applying polynomials of Laguerre and developed some matrices of operational types for the obtained numerical solution. By applying the operational matrices, the given problem is converted to some algebraic equation which on evaluation gives the required numerical results. These equations are of Sylvester types and can be solved by using matlab. We present some testing examples to ensure the correctness of the considered techniques. | en_US |
| dc.identifier.doi | 10.1142/S0218348X20400460 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.scopus | 2-s2.0-85090576865 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X20400460 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13874 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Boundary Value Problems | en_US |
| dc.subject | Laguerre Polynomials | en_US |
| dc.subject | Discretization Of Data | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.title | A New Numerical Treatment for Fractional Differential Equations Based on Non-Discretization of Data Using Laguerre Polynomials | en_US |
| dc.title | A NEW NUMERICAL TREATMENT FOR FRACTIONAL DIFFERENTIAL EQUATIONS BASED ON NON-DISCRETIZATION OF DATA USING LAGUERRE POLYNOMIALS | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Arfan, Muhammad/T-7715-2019 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Adnan; Shah, Kamal; Arfan, Muhammad] Univ Malakand, Dept Math, Chakadara Dir L, Khyber Pakhtunk, Pakistan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2040046 | |
| gdc.description.volume | 28 | en_US |
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| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Laguerre polynomials | |
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| gdc.oaire.keywords | Discretization | |
| gdc.oaire.keywords | Algebraic equation | |
| gdc.oaire.keywords | Numerical analysis | |
| gdc.oaire.keywords | Numerical solution of boundary value problems involving ordinary differential equations | |
| gdc.oaire.keywords | boundary value problems | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | discretization of data | |
| gdc.oaire.keywords | numerical solution | |
| gdc.oaire.keywords | fractional differential equations | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Jarad, Fahd | |
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