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Approximate solution of fractional integro-differential equations by Taylor expansion method
Computers and Mathematics with Applications (2011)
  • Li Huang, Hunan University of Technology
Abstract
In this paper, Taylor expansion approach is presented for solving (approximately) a class of inear fractional integro-differential equations including those of Fredholm and of Volterra types. By means of themth-order Taylor expansion of the unknown function at an arbitrary point, the linear fractional integro-differential equation can be converted approximately to a system of equations for the unknown function itself and its m derivatives under initial conditions. This method gives a simple and closed form solution for a linear fractional integro-differential equation. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
Keywords
  • Fractional integro-differential equation,
  • Taylor expansion,
  • Fredholm equations
Publication Date
2011
Citation Information
Li Huang. "Approximate solution of fractional integro-differential equations by Taylor expansion method" Computers and Mathematics with Applications (2011)
Available at: http://works.bepress.com/lihuang/4/