Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE

  • Dumitru Baleanu (Department of Mathematics Cankaya University, Institute of Space Sciences, Department of Medical Research China Medical University Hospital China Medical University) ;
  • Banupriya Kandasamy (Department of Mathematics with Computer Applications PSG College of Arts and Science) ;
  • Ramkumar Kasinathan (Department of Mathematics with Computer Applications PSG College of Arts and Science) ;
  • Ravikumar Kasinathan (Department of Mathematics PSG College of Arts and Science) ;
  • Varshini Sandrasekaran (Department of Mathematics PSG College of Arts and Science, Sri Eshwar College of Engineering)
  • Received : 2022.08.04
  • Accepted : 2022.11.22
  • Published : 2023.07.31
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Abstract

The goal of this study is to derive a class of random impulsive non-local fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.

Keywords

Acknowledgement

The authors would like to thank the reviewers for their constructive comments in upgrading the article.

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