Series Solutions of Multi-Term Fractional Differential Equations

Yousef Ibrahim Al-Srihin


In this thesis, we introduce a new series solutions for multi-term fractional differential equation of Caputo’s type. The idea is similar to the well-known Taylor Series method, but we overcome the difficulty of computing iterated fractional derivatives, which do not commuted in general. To illustrate the efficiency of the new algorithm, we apply it for several types of multi-term fractional differential equations and compare the results with the ones obtained by the well-known Adomian decomposition method (ADM).