Some Existence Results on Nonlinear Fractional Differential Equations
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2017-03-13T12:36:31Z | |
| dc.date.accessioned | 2025-09-18T15:45:16Z | |
| dc.date.available | 2017-03-13T12:36:31Z | |
| dc.date.available | 2025-09-18T15:45:16Z | |
| dc.date.issued | 2013 | |
| dc.description | Mohammadi, Hakimeh/0000-0002-7492-9782 | en_US |
| dc.description.abstract | In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundary-value problem D(alpha)u(t) = f(t, u(t)) with a Riemann-Liouville fractional derivative via the different boundary-value problems u(0) = u(T), and the three-point boundary condition u(0)= beta(1)u(eta) and u(T) = beta(2)u(eta), where T > 0, t is an element of I = [0, T], 0 < alpha < 1, 0 < eta < T, 0 < beta(1) < beta(2) < 1. | en_US |
| dc.description.sponsorship | Azarbaijan University of Shahid Madani | en_US |
| dc.description.sponsorship | The research of S. R. and H. M. was supported by Azarbaijan University of Shahid Madani. The authors also express their gratitude to the referees for their helpful suggestions that improved the final version of this paper. | en_US |
| dc.identifier.citation | Baleanu, D., Rezapour, S., Mohammadi, H. (2013). Some existence results on nonlinear fractional differential equations. Philosophical Transactions Of The Royal Society A-Mathematical Physical And Engineering Sciences, 371(1990). http://dx.doi.org/10.1098/rsta.2012.0144 | en_US |
| dc.identifier.doi | 10.1098/rsta.2012.0144 | |
| dc.identifier.issn | 1364-503X | |
| dc.identifier.issn | 1471-2962 | |
| dc.identifier.scopus | 2-s2.0-84875885472 | |
| dc.identifier.uri | https://doi.org/10.1098/rsta.2012.0144 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14540 | |
| dc.language.iso | en | en_US |
| dc.publisher | Royal Soc | en_US |
| dc.relation.ispartof | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Riemann-Liouville Fractional Derivative | en_US |
| dc.subject | Boundary-Value Problem | en_US |
| dc.title | Some Existence Results on Nonlinear Fractional Differential Equations | en_US |
| dc.title | Some existence results on nonlinear fractional differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mohammadi, Hakimeh/0000-0002-7492-9782 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
| gdc.author.wosid | Mohammadi, Hakimeh/Aao-4225-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania; [Rezapour, Shahram; Mohammadi, Hakimeh] Azarbaijan Univ Shahid Madani, Dept Math, Azarshahr, Tabriz, Iran | en_US |
| gdc.description.issue | 1990 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 20120144 | |
| gdc.description.volume | 371 | en_US |
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| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | boundary-value problem | |
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