IJPAM: Volume 106, No. 5 (2016)

A NOTE ON FRACTIONAL NEUTRAL
INTEGRO-DIFFERENTIAL SYSTEMS WITH
STATE-DEPENDENT DELAY

S. Kailasavalli$^1$, S. Suganya$^2$, M. Mallika Arjunan$^2$
$^1$Department of Mathematics
PSNA College of Engineering and Technology
Dindigul, 624622, Tamil Nadu, INDIA
$^2$Department of Mathematics
C.B.M. College
Coimbatore, 641042, Tamil Nadu, INDIA


Abstract. Based on concepts for semigroups, fractional calculus and Banach contraction principle, this manuscript is principally involved with existence results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is also offered to demonstrate the attained theorem.

Received: January 23, 2016

AMS Subject Classification: 34K30, 26A33, 35R10, 47D06

Key Words and Phrases: fractional order differential equations, state-dependent delay, Banach fixed point theorem, semigroup theory

Download paper from here.




DOI: 10.12732/ijpam.v106i5.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 5
Pages: 53 - 61


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).