An Expansion Iterative Technique for Handling Fractional Differential Equations Using Fractional Power Series Scheme | Science Publications

摘要

> >In this study, we present a new analytical numericaltechnique for solving a class of time Fractional Differential Equations (FDEs)with variable coefficients based on the generalized Taylor series formula inthe Caputo sense. This method provided the solution in the form of a rapidlyconvergent power series under a multiple fractional differentiability witheasily computable components. An efficacious experiment is given to guaranteethe procedure, to illustrate the theoretical statements of the presenttechnique and to show its potentiality, generality and superiority for solvingwide range of FDEs. The results reveal that the method is easy to implement,very effective, fully compatible with the complexity of such problems,straightforward and simple.