Title of article :
UNIQUENESS RESULTS AND CONVERGENCE OF SUCCESSIVE APPROXIMATIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Author/Authors :
Wu, Jun Changsha University of Science Technology - College of Mathematics and Computer Science, China , Liu, Yicheng National University of Defense Technology - College of Science - Department of Mathematics and System Sciences, China
Abstract :
In this paper, we establish some existence and uniqueness results for ban initial value problem with a Caputo fractional derivative. Also, the convergence of successive approximations is exhibited. Our methods are based on the equivalent norm techniques and fixed point theorem.
Keywords :
Fractional differential equations , Krasnoselskii , Krein type condition , Equivalent norm.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
