• Title/Summary/Keyword: neutral functional integrodifferential systems

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CONTROLLABILITY OF NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL SYSTEMS IN ABSTRACT SPACE

  • Li, Meili;Duan, Yongrui;Fu, Xianlong;Wang, Miansen
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.101-112
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    • 2007
  • In this paper, by using fractional power of operators and Sadovskii fixed point theorem, we study the controllability of abstract neutral functional integrodifferential systems with infinite delay. As application, an example is provided to illustrate the obtained results.

CONTROLLABILITY OF IMPULSIVE NEUTRAL STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL SYSTEM VIA RESOLVENT OPERATOR

  • K. RAMKUMAR;K. RAVIKUMAR;DIMPLEKUMAR CHALISHAJAR;A. ANGURAJ;MAMADOU ABDOUL DIOP
    • Journal of Applied and Pure Mathematics
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    • v.5 no.1_2
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    • pp.23-40
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    • 2023
  • 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.