Title of article :
ON THE EXISTENCE INTERVAL FOR THE INITIAL VALUE PROBLEM OF A FRACTIONAL DIFFERENTIAL EQUATION
Author/Authors :
Baleanu, Dumitru Cankaya University - Department of Mathematics Computer Science, Turkey , Baleanu, Dumitru Institute of Space Sciences - The National Institute for Laser, Plasma and Radiation, Physics,, Romania , Mustafa, Octavian G. University of Craiova - Faculty of Mathematics and Computer Science, DAL, Romania
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.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
