https://doi.org/10.1140/epjst/e2019-800096-x
Regular Article
Controllability of Hilfer fractional stochastic system with multiple delays and Poisson jumps
Department of Mathematics, The Gandhigram Rural Institute – Deemed to be University,
Gandhigram 624 302,
Dindigul,
Tamil Nadu, India
a e-mail: balugru@gmail.com
Received:
28
May
2018
Received in final form:
2
July
2018
Published online: 30 May 2019
This paper introduces a notion of controllability for nonlinear Hilfer fractional stochastic system with multiple delays in control and Poisson jumps. A proper new series of sufficient conditions are derived for the considered system to be controllable by using fixed point technique, fractional calculus and stochastic analysis approach. The obtained result generalizes many results on controllability of stochastic systems and fractional stochastic systems. Finally, an example is provided to show the effectiveness of the achieved theoretical results.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
