Abstract
The concept of differential operator with exponential decay kernel has been recently introduced by Caputo and Fabrizio with the aim to modeling real world porblems depicting fading memory processes. The concept has attracted attention of several researchers from academics fields. In this chapter, the two steps-Newton polynomial interpolation is used to generate a numerical scheme that will be used to solve nonlinear ordrinary equations with Caputo-Fabrizio derivative. Some examples are presented.
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