Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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CONTROLLABILITY OF IMPULSIVE NEUTRAL STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL SYSTEM VIA RESOLVENT OPERATOR

  • K. RAMKUMAR (Department of Mathematics, PSG College of Arts and Science) ;
  • K. RAVIKUMAR (Department of Mathematics, PSG College of Arts and Science) ;
  • DIMPLEKUMAR CHALISHAJAR (Department of Applied Mathematics, Mallory Hall, Virginia Military Institute) ;
  • A. ANGURAJ (Department of Mathematics, PSG College of Arts and Science) ;
  • MAMADOU ABDOUL DIOP (Departement de Mathematiques, Universite Geston Berger de Sanit-Louis)
  • Received : 2021.07.29
  • Accepted : 2023.02.15
  • Published : 2023.03.30
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Abstract

This paper is concerned by the controllability results of impulsive neutral stochastic functional integrodifferential equations (INSFIDEs) driven by fractional Brownian motion with infinite delay in a real separable Hilbert space. The controllability results are obtained using stochastic analysis, Krasnoselkii fixed point method and the theory of resolvent operator in the sense of Grimmer. A practical example is provided to illustrate the viability of the abstract result of this work.

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