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Results on Controllability of Nonlinear Hilfer Fractional Stochastic System

  • J. Priyadharsini , T. Sathiyaraj and P. Balasubramaniam EMAIL logo
Published/Copyright: March 30, 2019

Abstract

The main objective of this paper is to present sufficient conditions for controllability of Hilfer fractional nonlinear stochastic systems in finite dimensional space. The main results are obtained by using the Nussbaum fixed point theorem, stochastic analysis approach and generalized fractional calculus (Hilfer fractional derivative) which is universality of Riemann-Liouville and Caputo fractional derivative. Finally, a numerical example is provided to show the effectiveness of the obtained theoretical result. The obtained result is more generalized one than the existing results on fractional stochastic system in finite dimensional space.

JEL Classification: 26A33; 93B05; 60G22; 60J65

Acknowledgements

The work is supported by DST-SERB (MATRICS), New Delhi, Govt. of India under file No. MTR/2017/001011.

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Received: 2018-10-24
Accepted: 2019-03-14
Published Online: 2019-03-30
Published in Print: 2019-05-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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