Well-Posedness and stability of time-dependent impulsive neutral stochastic partial integrodierential equations with fractional Brownian motion and Poisson jumps

Authors

  • Ramkumar Kasinathan Department of Mathematics, PSG College of Arts and Science ,Coimbatore,641 014, India
  • Ravikumar Kasinathan Department of Mathematics, PSG College of Arts and Science , Coimbatore,641 014, India
  • Elsayed M Elsayed Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Keywords:

Resolvent operator, Stochastic partial differential equations, Poisson jumps, Fractional Brownian motion, Successive approximation, Bihari’s inequality.

Abstract

In this paper, we discuss the existence, uniqueness and stability of mild solutions of time-dependentimpulsive neutral stochastic partial integrodierential equations with fractional Brownian motionand Poisson jumps. The existence of mild solutions for the equations are discussed by means ofsemigroup theory and theory of resolvent operator. Next, certain sucient conditions and resultsare obtained by using the method of successive approximation and Bihari's inequality. Finally, anexample is provided to illustrate our results.

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Published

2021-12-23

Issue

Vol. 16

Section

Vol. 16, No. 7, (2022)

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