Controllability for a class of fractional neutral integro-differential equations with unbounded delay

V. Vijayakumar, A. Selvakumar and R. Murugesu

Applied Mathematics and Computation, 2014, vol. 232, issue C, 303-312

Abstract: In this paper, we consider a class of fractional neutral integro-differential equations with unbounded delay in Banach spaces. This paper deals with the exact controllability for fractional integro-differential neutral control systems. First, we establish a new set of sufficient conditions for the exact controllability of nonlinear fractional systems by using a fixed point analysis approach. Further, we extend the result to study the exact controllability concept with nonlocal conditions. Examples are provided to illustrate our main results.

Keywords: Exact controllability; Fractional equations; Integro-differential equations; Neutral equations; Nonlocal conditions; Mild solutions; Resolvent operators (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:303-312

DOI: 10.1016/j.amc.2014.01.029

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