IJPAM: Volume 106, No. 5 (2016)
INTEGRO-DIFFERENTIAL SYSTEMS WITH
STATE-DEPENDENT DELAY




PSNA College of Engineering and Technology
Dindigul, 624622, Tamil Nadu, INDIA

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