A Reliable Mixed Method for Singular Integro-Differential Equations of Non-Integer Order
| dc.contributor.author | Darzi, Rahmat | |
| dc.contributor.author | Agheli, Ahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-02T20:27:19Z | |
| dc.date.accessioned | 2025-09-18T14:10:35Z | |
| dc.date.available | 2020-04-02T20:27:19Z | |
| dc.date.available | 2025-09-18T14:10:35Z | |
| dc.date.issued | 2018 | |
| dc.description | Agheli, Bahram/0000-0003-2084-4158 | en_US |
| dc.description.abstract | It is our goal in this article to apply a method which is based on the assumption that combines two methods of conjugating collocation and multiple shooting method. The proposed method can be used to find the numerical solution of singular fractional integro-differential boundary value problems (SFIBVPs) D-upsilon y(t) + eta integral(t)(0) (t - s)(zeta-1) y(s) ds = g(t), 1 < upsilon <= 2, 0 < zeta < 1, eta is an element of R, where D-upsilon denotes the Caputo derivative of order upsilon. Meanwhile, in a separate section the existence and uniqueness of this method is also discussed. Two examples are presented to illustrate the application and further understanding of the methods. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Darzi, Rahmat; Agheli, Ahram, "A Reliable Mixed Method for Singular Integro-Differential Equations of Non-Integer Order", Mathematical Modelling of Natural Phenomena, 13, No.1, (2018). | en_US |
| dc.identifier.doi | 10.1051/mmnp/2018011 | |
| dc.identifier.issn | 0973-5348 | |
| dc.identifier.issn | 1760-6101 | |
| dc.identifier.scopus | 2-s2.0-85042669802 | |
| dc.identifier.uri | https://doi.org/10.1051/mmnp/2018011 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13736 | |
| dc.language.iso | en | en_US |
| dc.publisher | Edp Sciences S A | en_US |
| dc.relation.ispartof | Mathematical Modelling of Natural Phenomena | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Integral Differential Equation | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Collocation Method | en_US |
| dc.subject | Shooting Method | en_US |
| dc.title | A Reliable Mixed Method for Singular Integro-Differential Equations of Non-Integer Order | en_US |
| dc.title | A Reliable Mixed Method for Singular Integro-Differential Equations of Non-Integer Order | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Agheli, Bahram/0000-0003-2084-4158 | |
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| gdc.author.wosid | Darzi, Rahmat/Aan-9923-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Agheli, Bahram/R-3610-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Maturely Bucharest, Romania; [Darzi, Rahmat] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran; [Agheli, Ahram] Islamic Azad Univ, Dept Math, Qaemshahr Branch, Qaemshahr, Iran | 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.volume | 13 | en_US |
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| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | collocation method | |
| gdc.oaire.keywords | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | shooting method | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | fractional integral differential equation | |
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