Journal de mathématiques appliquées et computationnelles

An Algorithm for the Approximation of Fractional Differential-Algebraic Equations with Caputo-type Derivatives

Abstract

Odetunde OS and Taiwo OA

In this paper, we propose an algorithm to obtain approximate solutions of Fractional Differential-Algebraic Equations with Caputo-type derivatives. The method, Iterative Decomposition Method presents solutions as rapidly convergent infinite series of easily computable terms. Numerical examples are considered to highlight the significant features of the IDM, as well as illustrate the efficiency and accuracy of the method, when compared with known methods.