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Existence of positive solutions for weighted fractional order differential equations

dc.contributor.authorAbdo, Mohammed S.
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorAli, Saeed M.
dc.contributor.authorShah, Kamal
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-04-21T13:48:14Z
dc.date.available2022-04-21T13:48:14Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we deliberate two classes of initial value problems for nonlinear fractional differential equations under a version weighted generalized of Caputo fractional derivative given by Jarad et al. (2020a) [25]. We get a formula for the solution through the equivalent fractional integral equations to the proposed problems. The existence and uniqueness of positive solutions have been obtained by using lower and upper solutions. The acquired results are demonstrated by building the upper and lower control functions of the nonlinear term with the aid of Banach and Schauder fixed point theorems. The acquired results are demonstrated by pertinent numerical examples along with the Bashforth Moulton prediction correction scheme and Matlab. © 2020 Elsevier Ltden_US
dc.description.publishedMonth12
dc.identifier.citationAbdo, Mohammed S...et al. (2020). "Existence of positive solutions for weighted fractional order differential equations", Chaos, Solitons and Fractals, Vol. 141.en_US
dc.identifier.doi10.1016/j.chaos.2020.110341
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5419
dc.identifier.volume141en_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectControl Functionsen_US
dc.subjectFixed Point Theoremen_US
dc.subjectFractional Differential Equationen_US
dc.subjectLower and Upper Solutionsen_US
dc.subjectΨ-Weighted Caputo Operatoren_US
dc.titleExistence of positive solutions for weighted fractional order differential equationstr_TR
dc.titleExistence of Positive Solutions for Weighted Fractional Order Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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