International Journal of applied mathematics and computer science

online read us now

Paper details

Number 4 - December 2014
Volume 24 - 2014

Controllability of nonlinear implicit fractional integrodifferential systems

Krishnan Balachandran, Shanmugam Divya

Abstract
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result.

Keywords
controllability, fractional derivative, integrodifferential equations, fixed point theorem

DOI
10.2478/amcs-2014-0052