- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 4
- ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION
ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION
Authors : Dumitru Baleanu, Octavian G. Mustafa
Pages : 581-587
View : 12 | Download : 7
Publication Date : 2011-04-01
Article Type : Research
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