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

- Journal title : Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 20, Issue 1, 2016, pp.51-82
- Publisher : The Korean Society for Industrial and Applied Mathematics
- DOI : 10.12941/jksiam.2016.20.051

Title & Authors

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

KAILASAVALLI, SUBRAMANIAN; SUGANYA, SELVARAJ; ARJUNAN, MANI MALLIKA;

KAILASAVALLI, SUBRAMANIAN; SUGANYA, SELVARAJ; ARJUNAN, MANI MALLIKA;

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;

Language

English

Cited by

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