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dc.contributor.authorToprakseven, Şuayip
dc.identifier.citationToprakseven, Ş. (2021). Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme. TWMS Journal Of Applied And Engineering Mathematics. 11(1), 89-301.en_US
dc.description.abstractIn this paper, two successively iterative schemes have been provided to show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a parameter. The iterative sequences begin with some constant. The fractional derivative in this study is based on the newly defined and so called ”conformable fractional derivative”. The corresponding Green’s function that is singular at zero has been derived. Because of this singularity, the fixed point theorem can not be applied directly, thus a sequence of operators that are completely continuous is constructed and uniform convergence of these operators to the underlying operator is shown. Then a fixed point result on the order interval is applied. Nontrivial solutions of the problem and the positive solutions of the problem that are the limit of the iterative sequences constructed has been demonstrated.en_US
dc.publisherTurkic World Mathematical Socen_US
dc.rightsAttribution-NonCommercial 3.0 United States*
dc.subjectSuccessive iterationen_US
dc.subjectConformable Fractional Differential equationen_US
dc.subjectBoundary value problemsen_US
dc.subjectOrder intervalen_US
dc.subjectMonotone iterative Schemesen_US
dc.subjectExistence of solutionen_US
dc.titlePositive solutions for two-point conformable fractional differential equations by monotone iterative schemeen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.departmentAÇÜ, Mühendislik Fakültesien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorToprakseven, Şuayipen_US

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