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On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations

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dc.contributor.author Ali, Sajjad
dc.contributor.author Shah, Kamal
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2020-02-28T12:18:50Z
dc.date.available 2020-02-28T12:18:50Z
dc.date.issued 2019-02
dc.identifier.citation Ali, Sajjad; Shah, Kamal; Jarad, Fahd, "On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations", Mathematical Methods in the Applied Sciences, Vol. 42, No. 3, pp. 969-981, (2019). tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/2574
dc.description.abstract In this article, sufficient conditions for the existence of extremal solutions to nonlinear boundary value problem (BVP) of fractional order differential equations (FDEs) are provided. By using the method of monotone iterative technique together with upper and lower solutions, conditions for the existence and approximation of minimal and maximal solutions to the BVP under consideration are constructed. Some adequate results for different kinds of Ulam stability are investigated. Maximum error estimates for the corresponding solutions are given as well. Two examples are provided to illustrate the results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.5407 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.subject Monotone Iterative Technique tr_TR
dc.subject Ulam Stability tr_TR
dc.subject Upper and Lower Solutions Extremal Solutions tr_TR
dc.title On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 42 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 969 tr_TR
dc.identifier.endpage 981 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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