Geodesic
Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion with infinite delay via resolvent operator
Chalishajar, D. 1 ; Ramkumar, K.2 ; Anguraj, A.2 ; Ravikumar, K.2 ; Diop, M. A. 3
1 Department of Mathematics and Computer science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, United States
2 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India
3 Departement de Mathematiques, Universite Geston Berger de Sanit-Louis, UFR SAT-St Louis, Senegal
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 3, p. 172-185.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.015.03.01
Classification : 35R10, 60G22, 60H20, 93B05
Keywords: Controllability, impulsive systems, fractional Brownian motion, neutral functional integrodifferential equations, resolvent operator, infinite delay

Chalishajar, D.  1 ; Ramkumar, K. 2 ; Anguraj, A. 2 ; Ravikumar, K. 2 ; Diop, M. A.  3

1 Department of Mathematics and Computer science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, United States
2 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 046, India
3 Departement de Mathematiques, Universite Geston Berger de Sanit-Louis, UFR SAT-St Louis, Senegal 
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     title = {Controllability of neutral impulsive stochastic functional integrodifferential equations driven by a fractional {Brownian} motion with infinite delay via resolvent operator},
     journal = {Journal of nonlinear sciences and its applications},
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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 its applications, Tome 15 (2022) no. 3, p. 172-185. doi : 10.22436/jnsa.015.03.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.03.01/

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