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 |
| dspace.entity.type | Publication | |
| gdc.author.id | Khan, Mansoor/0000-0001-5496-1585 | |
| gdc.author.id | Affan, Hira/0000-0001-8495-4351 | |
| gdc.author.scopusid | 15047920200 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 24176419000 | |
| gdc.author.scopusid | 57205346393 | |
| gdc.author.scopusid | 33067561900 | |
| 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.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| 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 |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 40 | |
| gdc.description.volume | 7 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2908072141 | |
| gdc.identifier.wos | WOS:000459734200040 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 45.0 | |
| gdc.oaire.influence | 6.5251893E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Burger-Poisson equation of fractional order | |
| gdc.oaire.keywords | fractional derivatives | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | HPM | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.popularity | 5.2122697E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 5.4017 | |
| gdc.openalex.normalizedpercentile | 0.96 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 75 | |
| gdc.plumx.crossrefcites | 77 | |
| gdc.plumx.mendeley | 24 | |
| gdc.plumx.scopuscites | 86 | |
| gdc.publishedmonth | 1 | |
| gdc.scopus.citedcount | 86 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 74 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |