Abstract:
In this work, we extended the work of Sheen et al., 2003 for the numerical solution of
multi-term fractional order linear differential equations by an integral representation in the
complex plane. The resultant integral is approximated to high order accuracy using
quadrature. The accuracy of the method depends on the selection of optimal contour of
integration. In the present work, linear multi-term fractional order differential equations are
approximated for optimal contour of integration, and the results are compared with other
methods available to demonstrate the accuracy and efficiency of the present numerical
method.