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《Journal of Shaoyang University(Natural Science Edition)》 2018-01
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Solvability of Singular Fractional Order Elastic Beam Systems with Nonlinearities Depending on Lower Derivatives

LIU Xingyuan;YANG Mengyun;School of Science,Shaoyang University;  
In this article,existence results for solutions of a class of boundary-value problems for singular fractional order elastic beam systems with nonlinearities depending on lower derivatives are established.The nonlinearities in fractional differential equations may be singular at t = 0 and t = 1.A weighted function space is constructed firstly and then a completely continuous nonlinear operator is proved.Our analysis relies on a well known fixed point theorem.
【Fund】: 湖南省教育厅科学研究项目(17C1434)
【CateGory Index】: O175.8
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