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The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems 被引量:1

The Modified Adomian Decomposition Method for Nonlinear Fractional Boundary Value Problems
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作者 WANG Jie
机构地区 Undergraduate College
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期238-245,共8页 数学季刊(英文版)
关键词 Caputo fractional derivative Adomian decomposition method differential equations Caputo fractional derivative Adomian decomposition method differential equations
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参考文献19

  • 1HE Ji-huan. Nonlinear Oscillation with Fractional Derivative and Its Applications, in- International Con- ference on Vibrating Engineering'98[C]. Dalian: Northeastern University Press, 1998.
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同被引文献13

  • 1PODLUBNY I. Fractional Differential Equations[M]. San Diego: Academic Press, 1999.
  • 2KILBAS A A, SRIVASTAVA M, TRUJILLO J J. Theory and Applications of Fractional Differential Equa- tions[M]. Amterdam: Elsevier Science Limited, 2006.
  • 3LAKSHMIKANTHAM V, LEELA S, VASUNDHARA DEVI J. Theory of Fractional Dynamic Systems[M]. Cambridge: Cambridge Academic Publishers, 2009.
  • 4MILLER K S, ROSS B. An Introduction to the Fractional Calculus and Fractional Differential Equations[M]. New York: Wiley, 1993.
  • 5HOLM M. The Lapace transform in discrete fractional calculus[J]. Computers Mathematics with Applica- tions, 2011, 62(2): 1591-1601.
  • 6ABDELJAWAD T. On Rieman and Caputo fractional difference[J]. Comput Math Appl, 2011, 62(3): 1602- 1611.
  • 7ATICI F M, ELOE P W. Initial value problems in discrete fractional calculus[J]. Pro Amer Math-Soc, 2009 137(2): 981-989.
  • 8GOODRICH C S. Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions[J]. Computers Mathematics with Applications, 2011, 62(3): 1251-1268.
  • 9GOODRICH C S. On discrete sequential fractional boundary value problems[J]. Journal of Mathematical Analysis and Applications, 2011, 385(1): 111-124.
  • 10GOODRICH C S. Existence of a positive solution to a system of discrete fractional boundary value prob- lems[J]. Applied Mathematics and Computation, 2011, 217(9): 4740-4753.

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