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Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method

dc.contributor.authorJafarian, Ahmad
dc.contributor.authorGhaderi, Pariya
dc.contributor.authorGolmankhaneh, Alireza K.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-15T06:48:09Z
dc.date.available2020-05-15T06:48:09Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractAbel equation has important applications in describing the least time for an object which is sliding on surface without friction in uniform gravity, and the classical theory of elasticity of materials is modeled by a system of Abel integral equations. In this manuscript, the homotopy analysis method is presented for obtaining analytical solutions of a system of Abel integral equations as fractional equations. The applied method has lessened the size of calculation and improved the accuracy of solution in the case of the singular Abel integral equation. The illustrated examples and numerical results have proved the assertion.en_US
dc.identifier.citationJafarian, A...et al. (2014). "Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method",Romanian Reports in Physics, Vol. 66, No. 3, pp. 603-611.en_US
dc.identifier.endpage611en_US
dc.identifier.issn12211451
dc.identifier.issue3en_US
dc.identifier.startpage603en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3794
dc.identifier.volume66en_US
dc.language.isoenen_US
dc.publisherEditura Academiei Romaneen_US
dc.relation.ispartofRomanian Reports in Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectH-Curveen_US
dc.subjectFractional Calculusen_US
dc.subjectSystem of Abel Integral Equationsen_US
dc.subjectHomotopy Analysis Methoden_US
dc.titleAnalytical Treatment of System of Abel Integral Equations By Homotopy Analysis Methodtr_TR
dc.titleAnalytical Treatment of System of Abel Integral Equations by Homotopy Analysis Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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