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Author Country (or Countries)

Argentina

Abstract

In this work we prove the existence of solution to a nonlinear fractional initial value problem with Caputo-Fabrizio derivative. We pose an equivalent integral formulation of the problem, develop a recursive method to approximate the solution and prove its convergence. We show the performance of the procedure in some examples, including an application to hysteresis phenomena. Keywords:

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060407

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