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

Year 2011, Volume: 40 Issue: 4, 581 - 587, 01.04.2011

Dumitru Baleanu Octavian G. Mustafa

Abstract

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

Abstract

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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