Laplace Decomposition for Solving Nonlinear System of Fractional Order Partial Differential Equations
| dc.contributor.author | Shah, Rasool | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Arif, Muhammad | |
| dc.contributor.author | Khan, Hassan | |
| dc.date.accessioned | 2024-04-03T13:33:49Z | |
| dc.date.accessioned | 2025-09-18T15:43:40Z | |
| dc.date.available | 2024-04-03T13:33:49Z | |
| dc.date.available | 2025-09-18T15:43:40Z | |
| dc.date.issued | 2020 | |
| dc.description | Khan, Hassan/0000-0001-6417-1181; Arif, Muhammad/0000-0003-1484-7643 | en_US |
| dc.description.abstract | In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo operator. The validity of the proposed method is analyzed through illustrative examples. The solution graphs have shown a close contact between the exact and LADM solutions. It is observed that the solutions of fractional-order problems converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested technique. Due to better accuracy and straightforward implementation, the extension of the present method can be made to solve other fractional-order problems. | en_US |
| dc.description.sponsorship | Theoretical and Computational Science (TaCS) Center Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT). Bang Mod, Thung Khru, Bangkok, Thailand | en_US |
| dc.description.sponsorship | Theoretical and Computational Science (TaCS) Center Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT). 126 Pracha Uthit Rd., Bang Mod, Thung Khru, 10140,Bangkok, Thailand. | en_US |
| dc.identifier.citation | Khan, Hassan;...et.al. (2020). "Laplace decomposition for solving nonlinear system of fractional order partial differential equations", Advances in Difference Equations, Vol.2020, No.1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02839-y | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85088403623 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02839-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13999 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Laplace Transformation | en_US |
| dc.subject | Fractional Systems Of Partial Differential Equations | en_US |
| dc.title | Laplace Decomposition for Solving Nonlinear System of Fractional Order Partial Differential Equations | en_US |
| dc.title | Laplace decomposition for solving nonlinear system of fractional order partial differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Khan, Hassan/0000-0001-6417-1181 | |
| gdc.author.id | Arif, Muhammad/0000-0003-1484-7643 | |
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| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shah, Rasool/Aaf-6062-2021 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.author.wosid | Arif, Muhammad/Itt-3029-2023 | |
| gdc.author.wosid | Arif, Muhammad/E-3238-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hassan; Shah, Rasool; Arif, Muhammad] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan; [Kumam, Poom] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Theoret & Computat Sci TaCS Ctr, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
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