文章基本信息

标题：Computation of iterative solutions along with stability analysis to a coupled system of fractional order differential equations
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作者：Sajjad Ali ; Thabet Abdeljawad ; Kamal Shah 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-19
DOI：10.1186/s13662-019-2151-z
出版社：Hindawi Publishing Corporation
摘要：In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with highier order boundary conditions. The foundation of these sufficient techniques is a combination of the scheme of lower and upper solutions together with the method of monotone iterative technique. With the help of the proposed procedure, the convergence criteria for extremal solutions are smoothly achieved. Furthermore, a major aspect is devoted to the investigation of Ulam–Hyers type stability analysis which is also established. For the verification of our work, we provide some suitable examples along with their graphical represntation and errors estimates.
关键词：Monotone iterative technique ; Fractional differential equations ; Extremal solutions ; Ulam stability