| 含causal算子分数阶非线性微分方程的拟线性方法 |
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| 引用本文： | 王培光,李志芳.含causal算子分数阶非线性微分方程的拟线性方法[J].河北大学学报(自然科学版),2012(1):1-6. |
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| 作者姓名： | 王培光 李志芳 |
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| 作者单位： | 河北大学电子信息工程学院;河北大学数学与计算机学院 |
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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： | 采用拟线性化方法讨论了含causal算子的分数阶非线性微分方程初值问题,通过构造2个单调迭代序列,证明了它们一致且平方收敛于给出问题的解.
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| 关 键 词： | 拟线性方法 causal算子 分数阶微分方程 平方收敛 |
Quasilinearization for solution of nonlinear causal fractional differential equations |
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| WANG Pei-guang,LI Zhi-fang.Quasilinearization for solution of nonlinear causal fractional differential equations[J].Journal of Hebei University (Natural Science Edition),2012(1):1-6. |
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| Authors: | WANG Pei-guang LI Zhi-fang |
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| Institution: | 1.College of Electronic and Information Engineering,Hebei University,Baoding 071002,China; 2.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | By using the quasilinearization method for causal fractional differential equations,the authors construct two monotone sequences,then prove that they both converge uniformly and quadratically to the solution of the given problem. |
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| Keywords: | quasilinearization method causal operator fractional differential equations quadratic convergence |
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