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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.authorAli, Sajjad
dc.contributor.authorShah, Kamal
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2020-02-28T12:18:50Z
dc.date.available2020-02-28T12:18:50Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth2
dc.identifier.citationAli, 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).en_US
dc.identifier.doi10.1002/mma.5407
dc.identifier.endpage981en_US
dc.identifier.issn0170-4214
dc.identifier.issue3en_US
dc.identifier.startpage969en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2574
dc.identifier.volume42en_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Differential Equationsen_US
dc.subjectMonotone Iterative Techniqueen_US
dc.subjectUlam Stabilityen_US
dc.subjectUpper and Lower Solutions Extremal Solutionsen_US
dc.titleOn stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equationstr_TR
dc.titleOn Stable Iterative Solutions for a Class of Boundary Value Problem of Nonlinear Fractional Order Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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