Title: Existence of extremal solutions for discontinuous fractional functional differential equations

Authors: Yong Zhou, Feng Jiao

Addresses: School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, PR China. ' School of Mathematics and Information Sciences, Guangzhou University, Guangdong 510006, PR China

Abstract: In this paper, we apply the hybrid fixed point theorem to prove the existence of extremal solutions for certain discontinuous fractional neutral functional differential equations. We do not require the continuity of the nonlinearities involved in the equations.

Keywords: fractional neutral differential equations; extremal solutions; existence; Caratheodory condition; Chandrabhan condition; hybrid fixed point theorem; discontinuous differential equations; functional differential equations.

DOI: 10.1504/IJDSDE.2009.031104

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.237 - 252

Published online: 20 Jan 2010 *

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