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Global Solution to a Nonlinear Fractional Differential Equation for the Caputo–Fabrizio Derivative |
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PP: 269-281 |
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doi:10.18576/pfda/050403
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Author(s) |
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Sabrina D. Roscani,
Lucas Venturato,
Domingo A. Tarzia,
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Abstract |
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| In this article we prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo–Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag–Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.
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