A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay. (10th April 2014)

• Record Type: Journal Article
• Authors: Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram
• Other Names: Mursaleen M. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/524761
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k -dimensional systems of fractional neutral functional differential equations by using Krasnoselskii's fixed point theorem. In fact, our main result generalizes their main result in a sense.