A Generalized Operational Matrix of Mixed Partial Derivative Terms With Applications To Multi-Order Fractional Partial Differential Equations
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Mirza, Muhammad Umar | |
| dc.contributor.author | Nawaz, Asma | |
| dc.contributor.author | Riaz, Muhammad Bilal | |
| dc.contributor.author | Talib, Imran | |
| dc.date.accessioned | 2022-02-21T13:11:51Z | |
| dc.date.accessioned | 2025-09-18T12:04:46Z | |
| dc.date.available | 2022-02-21T13:11:51Z | |
| dc.date.available | 2025-09-18T12:04:46Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, a computational approach based on the operational matrices in conjunction with orthogonal shifted Legendre polynomials (OSLPs) is designed to solve numerically the multi-order partial differential equations of fractional order consisting of mixed partial derivative terms. Our computational approach has ability to reduce the fractional problems into a system of Sylvester types matrix equations which can be solved by using MATLAB builtin function lyap (.). The solution is approximated as a basis vectors of OSLPs. The efficiency and the numerical stability is examined by taking various test examples. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. | en_US |
| dc.description.sponsorship | Nonlinear Analysis Group, Virtual University of Pakistan | en_US |
| dc.description.sponsorship | This work was supported by Nonlinear Analysis Group, Virtual University of Pakistan. | en_US |
| dc.identifier.citation | Talib, Imran...et al. (2022). "A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations", Alexandria Engineering Journal, Vol. 61, No. 1, pp. 135-145. | en_US |
| dc.identifier.doi | 10.1016/j.aej.2021.04.067 | |
| dc.identifier.issn | 1110-0168 | |
| dc.identifier.issn | 2090-2670 | |
| dc.identifier.scopus | 2-s2.0-85108537753 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aej.2021.04.067 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10440 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Alexandria Engineering Journal | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mixed Partial Derivative Terms | en_US |
| dc.subject | Operational Matrices | en_US |
| dc.subject | Legendre Polynomials | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Multi-Term And Multi-Order Fractional Partial Differential Equations | en_US |
| dc.title | A Generalized Operational Matrix of Mixed Partial Derivative Terms With Applications To Multi-Order Fractional Partial Differential Equations | en_US |
| dc.title | A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Riaz, Muhammad/Aba-9824-2021 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Talib, Imran; Mirza, Muhammad Umar; Nawaz, Asma] Virtual Univ Pakistan, Math Dept, Nonlinear Anal Grp NAG, Lahore, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Riaz, Muhammad Bilal] Univ Management & Technol, Lahore, Pakistan; [Riaz, Muhammad Bilal] Univ Free State, Inst Groundwater Studies, Bloemfontein, South Africa | en_US |
| gdc.description.endpage | 145 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 135 | en_US |
| gdc.description.volume | 61 | en_US |
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| gdc.oaire.keywords | Operational matrices | |
| gdc.oaire.keywords | Legendre polynomials | |
| gdc.oaire.keywords | Multi-term and Multi-order Fractional partial differential equations | |
| gdc.oaire.keywords | TA1-2040 | |
| gdc.oaire.keywords | Engineering (General). Civil engineering (General) | |
| gdc.oaire.keywords | Mixed partial derivative terms | |
| gdc.oaire.keywords | Caputo derivative | |
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| gdc.virtual.author | Jarad, Fahd | |
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