Analytical Treatment of System of Abel Integral Equations by Homotopy Analysis Method
| dc.contributor.author | Jafarian, A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ghaderi, P. | |
| dc.contributor.author | Golmankhaneh, Alireza K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:48:28Z | |
| dc.date.available | 2025-09-23T12:48:28Z | |
| dc.date.issued | 2014 | |
| dc.description | Alireza/0000-0002-3490-7976; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | en_US |
| 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. | en_US |
| dc.description.sponsorship | A new iterative method for finding solution of Abel integral equation at the Department of Mathematics, Urmia Branch Islamic Azad University of Iran; fundamental research grant scheme | en_US |
| dc.description.sponsorship | This paper is based on the Masters project "A new iterative method for finding solution of Abel integral equation" at the Department of Mathematics, Urmia Branch Islamic Azad University of Iran, under graduate research fellowship and fundamental research grant scheme. | en_US |
| 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. | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-84907023312 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15274 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | System Of Abel Integral Equations | en_US |
| dc.subject | Homotopy Analysis Method | en_US |
| dc.subject | H-Curve | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.title | Analytical Treatment of System of Abel Integral Equations by Homotopy Analysis Method | en_US |
| dc.title | Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | , Alireza/0000-0002-3490-7976 | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 25031262700 | |
| gdc.author.scopusid | 55490347000 | |
| gdc.author.scopusid | 25122552100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jafarian, A.; Ghaderi, P.] Islamic Azad Univ, Urmia Branch, Dept Math, Orumiyeh, Iran; [Golmankhaneh, Alireza K.] Islamic Azad Univ, Urmia Branch, Dept Phys, Orumiyeh, Iran; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, RO-077125 Magurele, Romania; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 611 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 603 | en_US |
| gdc.description.volume | 66 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000342035600002 | |
| gdc.scopus.citedcount | 22 | |
| gdc.wos.citedcount | 20 | |
| 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 |