Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Waheed, Asif | |
| dc.contributor.author | Khan, Mansoor Shaukat | |
| dc.contributor.author | Affan, Hira | |
| dc.contributor.author | Javeed, Shumaila | |
| dc.date.accessioned | 2020-01-29T12:07:38Z | |
| dc.date.accessioned | 2025-09-18T14:09:52Z | |
| dc.date.available | 2020-01-29T12:07:38Z | |
| dc.date.available | 2025-09-18T14:09:52Z | |
| dc.date.issued | 2019 | |
| dc.description | Khan, Mansoor/0000-0001-5496-1585; Affan, Hira/0000-0001-8495-4351 | en_US |
| dc.description.abstract | The analysis of Homotopy PerturbationMethod (HPM) for the solution of fractional partial differential equations (FPDEs) is presented. A unified convergence theorem is given. In order to validate the theory, the solution of fractional-order Burger-Poisson (FBP) equation is obtained. Furthermore, this work presents the method to find the solution of FPDEs, while the same partial differential equation (PDE) with ordinary derivative i.e., for alpha = 1, is not defined in the given domain. Moreover, HPM is applied to a complicated obstacle boundary value problem (BVP) of fractional order. | en_US |
| dc.identifier.citation | Javeed, Shumaila...et al. (2019). "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations", Mathematics, Vol. 7, No. 1. | en_US |
| dc.identifier.doi | 10.3390/math7010040 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85059608316 | |
| dc.identifier.uri | https://doi.org/10.3390/math7010040 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13518 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Burger-Poisson Equation Of Fractional Order | en_US |
| dc.subject | Hpm | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.title | Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations | en_US |
| dc.title | Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Khan, Mansoor/0000-0001-5496-1585 | |
| gdc.author.id | Affan, Hira/0000-0001-8495-4351 | |
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| gdc.author.wosid | Khan, Mansoor/Aae-4133-2019 | |
| gdc.author.wosid | , Asif/Aam-4071-2021 | |
| gdc.author.wosid | Affan, Hira/Aaa-2582-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Waheed, Asif/NYT-3049-2025 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Javeed, Shumaila; Khan, Mansoor Shaukat] COMSATS Univ Islamabad, Dept Math, Pk Rd, Chak Shahzad Islamabad 45550, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Waheed, Asif] COMSATS Univ Islamabad, Dept Math, Kamra Rd, Attock 43600, Punjab, Pakistan; [Affan, Hira] COMSATS Univ Islamabad, Dept Phys, Pk Rd, Chak Shahzad Islamabad 45550, Pakistan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 40 | |
| gdc.description.volume | 7 | en_US |
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| gdc.oaire.keywords | Burger-Poisson equation of fractional order | |
| gdc.oaire.keywords | fractional derivatives | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | HPM | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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