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

Authors : Dumitru BALEANU, Octavian G MUSTAFA

Pages : 581-587

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Publication Date : 2011-04-01

Article Type : Research Paper

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