Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems. (May 2016)

• Record Type: Journal Article
• Authors: Balachandran, K; Divya, S; Rivero, M; Trujillo, JJ
• Is Part Of: Journal of vibration and control. Volume 22:Number 9(2016)
• Page Start: 2165
• Page End: 2172
• Publication Date: 2016-05
• Subjects: Controllability -- neutral fractional integrodifferential equations -- Sadovskii fixed point theorem; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546314567182
• Languages: English
• ISSNs: 1077-5463

Abstract

In this paper, the control problem of nonlinear neutral fractional Volterra integrodifferential systems with implicit fractional derivative is established. Such kind of problems involve a number of problems on complex media. Sufficient conditions for controllability are obtained through the notions of a condensing map and measure of noncompactness of a set. A example to check the main results included in this paper is included.