Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator
Volume 15, Issue 3, pp 172--185
http://dx.doi.org/10.22436/jnsa.015.03.01
Publication Date: January 06, 2022
Submission Date: October 01, 2021
Revision Date: November 01, 2021
Accteptance Date: November 19, 2021
Authors
D. Chalishajar
- Department of Mathematics and Computer science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, United States.
K. Ramkumar
- Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India.
A. Anguraj
- Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India.
K. Ravikumar
- Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India.
M. A. Diop
- Departement de Mathematiques, Universite Geston Berger de Sanit-Louis, UFR SAT-St Louis, Senegal.
Abstract
This paper is concerned with the controllability results of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay in a real separable Hilbert space. The controllability results are obtained using stochastic analysis, the theory of resolvent operator in the sense of Grimmer and Krasnoselskii fixed point theorem. An example is provided to illustrate the obtained theory.
Share and Cite
ISRP Style
D. Chalishajar, K. Ramkumar, A. Anguraj, K. Ravikumar, M. A. Diop, Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 3, 172--185
AMA Style
Chalishajar D., Ramkumar K., Anguraj A., Ravikumar K., Diop M. A., Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator. J. Nonlinear Sci. Appl. (2022); 15(3):172--185
Chicago/Turabian Style
Chalishajar, D., Ramkumar, K., Anguraj, A., Ravikumar, K., Diop, M. A.. "Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator." Journal of Nonlinear Sciences and Applications, 15, no. 3 (2022): 172--185
Keywords
- Controllability
- impulsive systems
- fractional Brownian motion
- neutral functional integrodifferential equations
- resolvent operator
- infinite delay
MSC
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