一类分数阶微分方程的广义拟线性化方法

  • 王培光 ,
  • 侯颖 ,
  • 刘静
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  • 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

网络出版日期: 2011-09-25

Generalized Quasilinearization for Fractional Differential Equations

  • WANG Pei-guang ,
  • HOU Ying ,
  • LIU Jing
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Online published: 2011-09-25

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.

本文引用格式

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 . DOI: 10.3969/j.issn.1000-1565.2011.05.001

参考文献

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[2] Diethelm K., Ford NJ.. Analysis of fractional differential equations [J]. Journal of Mathematical Analysis and Applications 2002, 2(2).
[3] PODLUBNY I. Fractional differential equations [M]. San Diego:academic Press 1999.
[4] GL(O)CKLE W G, NONNENMACHER T F. A fractional calculus approach to self simslar protein dynamics [J]. Biophysical Journal 1995, 68(01).
[5] KIRYAKORA V. Generalized fractional calculus and applications [M]. New York:Longman Wiley 1994.
[6] LAKSHMIKANTHAM V, VATSALA A S. Generalized quasilinearization for nonlinear problems [M]. Dordrecht:kluwer Academic Publishers 1998.
[7] Generalized quasilinearization for fractional differential equations [J]. Computers & Mathematics with Applications: An International Journal 2010, 3(3).
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