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分数阶方程研究

已有 4870 次阅读 2012-5-29 15:41 |系统分类:科研笔记| fractional, differential, equation

 分数阶PDE和ODE是近年来兴起的一个非常前沿的研究领域,非常庆幸看到很多国内同行在这个方面做出了非常优秀的贡献。
我在感兴趣之余,也在这方面做了一些初步的研究,得到了几个结果都发表在一些数学类的SCI期刊上,希望这些研究能为自己以后的研究起到抛砖引玉的作用。 下面是几篇已经发表的分数阶微分方程的文章;

1.Xinguang Zhang, Yuefeng Han, Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations, Applied Mathematics Letters, 25 (2012) 555–560.

2.Xinguang Zhang, Lishan Liu, Yonghong Wu, Multiple positive solutions of a singular fractional differential equation with negatively perturbed term, Mathematical and Computer Modelling, 55 (2012) 1263–1274.

3.     Xinguang Zhang, Lishan Liu, Yonghong Wu, The eigenvalue problem for a singular higher fractional differential equation involving fractional derivatives, Applied Mathematics and Computation 218 (2012) 8526–8536.

4.Xinguang Zhang, Lishan Liu, Benchawan Wiwatanapataphee,and Yonghong Wu,Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives,Abstract and Applied Analysis, Volume 2012, Article ID 512127, 16 pages doi:10.1155/2012/512127

5. Jianwu Wu, Xinguang Zhang, Lishan Liu; and Yonghong Wu,Positive solutions of higher-order nonlinear
fractional di®erential equations with changing-sign measure, Advances in Difference Equations.



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