| 一类分数阶微分方程的广义拟线性化方法 |
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| 引用本文： | 王培光,侯颖,刘静.一类分数阶微分方程的广义拟线性化方法[J].河北大学学报(自然科学版),2011,31(5):449-452. |
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| 作者姓名： | 王培光 侯颖 刘静 |
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| 作者单位： | 1. 河北大学电子信息工程学院,河北保定,071002
2. 河北大学数学与计算机学院,河北保定,071002 |
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| 基金项目： | 国家自然科学基金资助项目(10971045); 河北省自然科学基金资助项目(A2009000151) |
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| 摘 要： | 采用广义拟线性方法讨论了Caputo分数阶微分方程初值问题,给出2个单调迭代序列,证明它们一致且平方收敛于方程的解.
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| 关 键 词： | 分数阶微分方程 广义拟线性化方法 平方收敛 |
Generalized Quasilinearization for Fractional Differential Equations |
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| WANG Pei-guang,HOU Ying,LIU Jing.Generalized Quasilinearization for Fractional Differential Equations[J].Journal of Hebei University (Natural Science Edition),2011,31(5):449-452. |
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| Authors: | WANG Pei-guang HOU Ying LIU Jing |
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| Institution: | WANG Pei-guang1,HOU Ying2,LIU Jing2(1.College of Electronic and Information Engineering,Hebei University,Baoding 071002,China,2.College of Mathematics and Computer Science,China) |
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| Abstract: | This paper employs the generalized quasilinearization method for initial value problems of Caputo fractional differential equations,and constructs two monotone sequences,then proofs both of them converge uniformly and quadratically to the solution of the equation. |
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| Keywords: | fractional differential equations generalized quasilinearization quadratic convergence |
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