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Monotone Iterative Method for a Class of Nonlinear Fractional Differential Equations

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Zhang, Lihong
dc.contributor.author Wang, Guotao
dc.date.accessioned 2020-04-07T17:27:28Z
dc.date.accessioned 2025-09-18T12:49:33Z
dc.date.available 2020-04-07T17:27:28Z
dc.date.available 2025-09-18T12:49:33Z
dc.date.issued 2012
dc.description Zhang, Lihong/0000-0002-3144-2237 en_US
dc.description.abstract By applying the monotone iterative technique and the method of lower and upper solutions, this paper investigates the existence of extremal solutions for a class of nonlinear fractional differential equations, which involve the Riemann-Liouville fractional derivative D (q) x(t). A new comparison theorem is also build. At last, an example is given to illustrate our main results. en_US
dc.identifier.citation Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong, "Monotone iterative method for a class of nonlinear fractional differential equations", Fractional Calculus and Applied Analysis, Vol en_US
dc.identifier.doi 10.2478/s13540-012-0018-z
dc.identifier.issn 1311-0454
dc.identifier.issn 1314-2224
dc.identifier.scopus 2-s2.0-84866054434
dc.identifier.uri https://doi.org/10.2478/s13540-012-0018-z
dc.identifier.uri https://hdl.handle.net/20.500.12416/12404
dc.language.iso en en_US
dc.publisher Walter de Gruyter Gmbh en_US
dc.relation.ispartof Fractional Calculus and Applied Analysis
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Monotone Iterative Technique en_US
dc.subject Nonlinear Fractional Differential Equation en_US
dc.subject Comparison Theorem en_US
dc.subject Extremal Solutions en_US
dc.title Monotone Iterative Method for a Class of Nonlinear Fractional Differential Equations en_US
dc.title Monotone Iterative Method for A Class of Nonlinear Fractional Differential Equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Zhang, Lihong/0000-0002-3144-2237
gdc.author.scopusid 55622789600
gdc.author.scopusid 7005872966
gdc.author.scopusid 55709293000
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Wang, Guotao/Aar-1198-2020
gdc.author.yokid 56389
gdc.bip.impulseclass C4
gdc.bip.influenceclass C4
gdc.bip.popularityclass C4
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 [Wang, Guotao; Zhang, Lihong] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
gdc.description.endpage 252 en_US
gdc.description.issue 2 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 244 en_US
gdc.description.volume 15 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W1989510400
gdc.identifier.wos WOS:000301864400008
gdc.index.type WoS
gdc.index.type Scopus
gdc.oaire.diamondjournal false
gdc.oaire.impulse 21.0
gdc.oaire.influence 7.060391E-9
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gdc.oaire.keywords extremal solutions
gdc.oaire.keywords monotone iterative technique
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
gdc.oaire.keywords comparison theorem
gdc.oaire.keywords nonlinear fractional differential equation
gdc.oaire.keywords Theoretical approximation of solutions to ordinary differential equations
gdc.oaire.popularity 4.9688147E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.openalex.collaboration International
gdc.openalex.fwci 5.0313181
gdc.openalex.normalizedpercentile 0.96
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 43
gdc.plumx.crossrefcites 38
gdc.plumx.mendeley 2
gdc.plumx.scopuscites 52
gdc.publishedmonth 6
gdc.scopus.citedcount 52
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 47
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