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

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dc.contributor.author Jafarian, Ahmad
dc.contributor.author Ghaderi, Pariya
dc.contributor.author Golmankhaneh, Alireza K.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-15T06:48:09Z
dc.date.available 2020-05-15T06:48:09Z
dc.date.issued 2014
dc.identifier.citation Jafarian, 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. tr_TR
dc.identifier.issn 12211451
dc.identifier.uri http://hdl.handle.net/20.500.12416/3794
dc.description.abstract Abel 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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject H-Curve tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject System of Abel Integral Equations tr_TR
dc.subject Homotopy Analysis Method tr_TR
dc.title Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method tr_TR
dc.type article tr_TR
dc.relation.journal Romanian Reports in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 66 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 603 tr_TR
dc.identifier.endpage 611 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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