Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations Via Implicit Evolution System
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Date
2012
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Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
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Top 10%
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Abstract
We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.
Description
Baleanu, Dumitru/0000-0002-0286-7244
ORCID
Keywords
Controllability, Artificial intelligence, Class (philosophy), Null (SQL), Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Database, Engineering, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Banach space, Applied Mathematics, Physics, Pure mathematics, Applied mathematics, Computer science, Operating system, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Mathematics, Nonlinear Systems, fractional nonlocal nonlinear integrodifferential systems, Fractional ordinary differential equations, Integro-ordinary differential equations, mild and strong solutions
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Debbouche, A., Baleanu, D. (2012). Exact null controllability for fractional nonlocal ıntegrodifferential equations via ımplicit evolution system. Journal of Applied Mathematics, http://dx.doi.org/10.1155/2012/931975
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
21
Source
Journal of Applied Mathematics
Volume
2012
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CrossRef : 19
Scopus : 26
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