Controllability of Fractional Evolution Nonlocal Impulsive Quasilinear Delay Integro-Differential Systems
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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No
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Top 1%
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Abstract
In this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, fixed point technique and also we introduced a new concept called (alpha, u)-resolvent family. As an application that illustrates the abstract results, an example is given. (C) 2011 Elsevier Ltd. All rights reserved.
Description
Keywords
Fractional Integro-Differential Systems, Controllability, (Alpha, U)-Resolvent Family, Non Local And Impulsive Conditions, Fixed Point Theorem, Controllability, Computational Mathematics, (α,u)-resolvent family, Computational Theory and Mathematics, Fixed point theorem, Nonlocal and impulsive conditions, Modelling and Simulation, Fractional integro-differential systems, \((\alpha, u)\)-resolvent family, fixed point theorem, Fractional ordinary differential equations, controllability, nonlocal and impulsive conditions, Integro-partial differential equations, Fixed-point theorems, fractional integro-differential systems, Control problems involving ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Debbouche, A., Baleanu, D. (2011). Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Computers&Mathematics With Applications, 62(3), 1442-1450. http://dx.doi.org/ 10.1016/j.camwa.2011.03.075
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
187
Source
Computers & Mathematics with Applications
Volume
62
Issue
3
Start Page
1442
End Page
1450
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CrossRef : 185
Scopus : 216
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