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Approximate Solutions to Nonlinear Fractional Differential Equations with the Caputo-Fabrizio Derivative |
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PP: 301-312 |
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doi:10.18576/pfda/060407
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Author(s) |
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Silvia Alejandra Seminara,
Marıa Ines Troparevsky,
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Abstract |
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| 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:
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