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ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION

We compute via a comparison function technique, a new bound for the existence interval of the initial value problem for a fractional differential equation given by means of Caputo derivatives. We improve in this way the estimate of the existence interval obtained very recently in the literature.

Keywords:

Fractional differential equation, Leray-Schauder alternative, Local existence Estimate of existence interval, 2000 AMS Classification: 34 A 12,

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