Uniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential Equations
| dc.contributor.author | Chu, Yan-Dong | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zhou, Wen-Xue | |
| dc.date.accessioned | 2020-04-02T14:38:53Z | |
| dc.date.accessioned | 2025-09-18T13:27:56Z | |
| dc.date.available | 2020-04-02T14:38:53Z | |
| dc.date.available | 2025-09-18T13:27:56Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this paper, we study the uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem , , , , where is a real number, is the standard Riemann-Liouville differentiation and , with . Our analysis relies on a fixed-point theorem in partially ordered set. As an application, an example is presented to illustrate the main result. MSC: 26A33, 34B15, 34K37. | en_US |
| dc.description.sponsorship | National Natural Science Foundation of China [11161027, 11262009] | en_US |
| dc.description.sponsorship | The authors are thankful to the referees for their careful reading of the manuscript and insightful comments. The research is supported by the National Natural Science Foundation of China (11161027, 11262009). | en_US |
| dc.identifier.citation | Zhou, Wen-Xue; Chu, Yan-Dong; Baleanu, Dumitru, "Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations", Advances In Difference Equations, (2013) | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-114 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84893949390 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-114 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13091 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Singular Fractional Differential Equations | en_US |
| dc.subject | Riemann-Liouville Fractional Derivative | en_US |
| dc.subject | Uniqueness | en_US |
| dc.subject | Partially Ordered Set | en_US |
| dc.title | Uniqueness and Existence of Positive Solutions for a Multi-Point Boundary Value Problem of Singular Fractional Differential Equations | en_US |
| dc.title | Uniqueness and Existence of Positive Solutions for A Multi-Point Boundary Value Problem of Singular Fractional Differential Equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 48663193000 | |
| gdc.author.scopusid | 12798118100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zhou, Wen-Xue] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China; [Zhou, Wen-Xue; Chu, Yan-Dong] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2013 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2073070894 | |
| gdc.identifier.wos | WOS:000321783000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 3.0 | |
| gdc.oaire.influence | 3.168673E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Singular solution | |
| gdc.oaire.keywords | Fixed-point theorem | |
| gdc.oaire.keywords | Boundary value problem | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Free boundary problem | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Boundary Value Problems | |
| gdc.oaire.keywords | Picard–Lindelöf theorem | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Nonlinear system | |
| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | partially ordered set | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | singular fractional differential equations | |
| gdc.oaire.keywords | uniqueness | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.popularity | 3.1432723E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 5.40401064 | |
| gdc.openalex.normalizedpercentile | 0.96 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 8 | |
| gdc.plumx.crossrefcites | 3 | |
| gdc.plumx.mendeley | 4 | |
| gdc.plumx.scopuscites | 16 | |
| gdc.scopus.citedcount | 17 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 16 | |
| 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 |