Controllability of Fractional Evolution Nonlocal Impulsive Quasilinear Delay Integro-Differential Systems
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Date
2011
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Pergamon-elsevier Science Ltd
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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.
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Keywords
Fractional Integro-Differential Systems, Controllability, (Alpha, U)-Resolvent Family, Non Local And Impulsive Conditions, Fixed Point Theorem
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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
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Q1
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Q1
OpenCitations Citation Count
185
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Volume
62
Issue
3
Start Page
1442
End Page
1450
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CrossRef : 185
Scopus : 228
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