An Approximation Technique for Nonlinear Fractional Initial Value Problems with Caputo Derivatives
DOI:
https://doi.org/10.46881/ajsn.v2i1.31Keywords:
Fractional Initial Value Problems, Caputo Derivatives, Mittag-Leffler function, Iterative Decomposition Method.Abstract
In this paper, an Iterative Decomposition Method is applied to solve Fractional Initial Value Problems in which the fractional derivatives are given in the Caputo sense. The method presents solutions as rapidly convergent infinite series of easily computable terms. Some examples are given to illustrate the accuracy and efficiency of the method. Some numerical examples are considered to illustrate the accuracy and efficiency of the method. Solutions obtained compared favorably with exact solutions and solutions obtained by other known methods.References
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