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Controllability of fractional order system with nonlinear term having integral contractor

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Abstract

In this paper, controllability results for a class of semilinear control systems of fractional order are established. The nonlinear term is assumed to have an integral contractor which is a weaker condition than the Lipschitz continuity. The existence and uniqueness of mild solution is also proved.

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Authors and Affiliations

  1. Dept. of Mathematics, Jaypee University of Engineering and Technology, Raghogarh, 473226, India

    Surendra Kumar

  2. Dept. of Mathematics, Indian Institute of Technology, Roorkee, Roorkee, 247667, India

    Nagarajan Sukavanam

Authors
  1. Surendra Kumar
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  2. Nagarajan Sukavanam
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Correspondence to Surendra Kumar.

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Kumar, S., Sukavanam, N. Controllability of fractional order system with nonlinear term having integral contractor. fcaa 16, 791–801 (2013). https://doi.org/10.2478/s13540-013-0049-0

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