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http://dx.doi.org/10.12941/jksiam.2016.20.051

EXISTENCE AND CONTROLLABILITY OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS WITH STATE-DEPENDENT DELAY IN BANACH SPACES  

KAILASAVALLI, SUBRAMANIAN (DEPARTMENT OF MATHEMATICS, PSNA COLLEGE OF ENGINEERING AND TECHNOLOGY)
SUGANYA, SELVARAJ (DEPARTMENT OF MATHEMATICS, C. B. M. COLLEGE)
ARJUNAN, MANI MALLIKA (DEPARTMENT OF MATHEMATICS, C. B. M. COLLEGE)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.20, no.1, 2016 , pp. 51-82 More about this Journal
Abstract
In view of ideas for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is generally included with existence and controllability (EaC) results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Finally, an examples are also provided to illustrate the theoretical results.
Keywords
Fractional order differential equations; state-dependent delay; controllability; Banach fixed point theorem; resolvent operators; semigroup theory;
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