dc.contributor.author Toprakseven, Şuayip dc.date.accessioned 2021-02-04T10:16:09Z dc.date.available 2021-02-04T10:16:09Z dc.date.issued 2021 en_US dc.identifier.citation Toprakseven, 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.identifier.uri https://hdl.handle.net/11494/2596 dc.description.abstract In this paper, two successively iterative schemes have been provided to show en_US 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. dc.language.iso eng en_US dc.publisher Turkic World Mathematical Soc en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.rights Attribution-NonCommercial 3.0 United States * dc.rights.uri http://creativecommons.org/licenses/by-nc/3.0/us/ * dc.subject Successive iteration en_US dc.subject Conformable Fractional Differential equation en_US dc.subject Boundary value problems en_US dc.subject Order interval en_US dc.subject Monotone iterative Schemes en_US dc.subject Existence of solution en_US dc.title Positive solutions for two-point conformable fractional differential equations by monotone iterative scheme en_US dc.type article en_US dc.relation.journal TWMS Journal Of Applied And Engineering Mathematics en_US dc.department AÇÜ, Mühendislik Fakültesi en_US dc.authorid 0000-0003-3901-9641 en_US dc.identifier.volume 11 en_US dc.identifier.issue 1 en_US dc.identifier.startpage 289 en_US dc.identifier.endpage 301 en_US dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US dc.contributor.institutionauthor Toprakseven, Şuayip en_US
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