Approximate solution of fractional integro-differential equations by Taylor expansion methodComputers and Mathematics with Applications (2011)
AbstractIn 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.
- Fractional integro-differential equation,
- Taylor expansion,
- Fredholm equations
Citation InformationLi 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/