On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces

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作者：
Chokkalingam Ravichandran
Dumitru Baleanu
机构：
[1] RVS Technical Campus,Department of Mathematics, RVS Faculty of Engineering
[2] Cankaya University,Department of Mathematics and Computer Science, Faculty of Arts and Sciences
[3] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[4] Institute of Space Sciences,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
controllability; Caputo fractional derivative; measures of noncompactness; fixed point theorem;
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摘要：
In this manuscript, we study the sufficient conditions for controllability for fractional functional integro-differential systems involving the Caputo fractional derivative of order α∈(0,1] in Banach spaces. Our main approach is based on fractional calculus, the properties of characteristic solution operators, Mönch’s fixed point theorem via measures of noncompactness. Particularly, these results are under some weakly compactness conditions. An example is presented in the end to show the applications of the obtained abstract results.
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