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Controllability of nonlinear higher order fractional dynamical systems

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Abstract

The aim of this paper is to derive a set of sufficient conditions for controllability of nonlinear fractional dynamical system of order 1<α<2 in finite dimensional spaces. The results are obtained using the Schauder fixed point theorem. Examples are included to verify the result.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India

    K. Balachandran & V. Govindaraj

  2. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain

    L. Rodríguez-Germá & J. J. Trujillo

Authors
  1. K. Balachandran
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  2. V. Govindaraj
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  3. L. Rodríguez-Germá
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  4. J. J. Trujillo
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Corresponding author

Correspondence to J. J. Trujillo.

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Balachandran, K., Govindaraj, V., Rodríguez-Germá, L. et al. Controllability of nonlinear higher order fractional dynamical systems. Nonlinear Dyn 71, 605–612 (2013). https://doi.org/10.1007/s11071-012-0612-y

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  • DOI: https://doi.org/10.1007/s11071-012-0612-y

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