On the Numerical Solution of Linear Multi- Term Fractional Order Differential Equations Using Laplace Transform and Quadrature

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.