DOI: 10.3390/math12060804 ISSN: 2227-7390

Hyers–Ulam Stability of Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps

Zhenyu Bai, Chuanzhi Bai
  • General Mathematics
  • Engineering (miscellaneous)
  • Computer Science (miscellaneous)

In this paper, we explore the stability of a new class of Caputo-type fractional stochastic delay differential systems with Poisson jumps. We prove the Hyers–Ulam stability of the solution by utilizing a version of fixed point theorem, fractional calculus, Cauchy–Schwartz inequality, Jensen inequality, and some stochastic analysis techniques. Finally, an example is provided to illustrate the effectiveness of the results.

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