Abstract

In this paper, a new algorithm for the numerical solution of semidifferential equations with constant coefficients and fractional derivative defined in the Caputo sense is presented. The algorithm is obtained by using the spline collocation method. Moreover, a new technique for calculating the fractional derivative of the spline polynomial is derived. Numerical examples are also presented to test and illustrate the method.

Keywords: Fractional derivative; semidifferential equation; numerical solution; spline space.

MSC: 26A33, 65D07

Pages:  117$-$126     

Volume  62 ,  Issue  2 ,  2010