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<p>This paper is devoted to exploring a new class of Hilfer fractional stochastic switched dynamical systems with the Rosenblatt process and abrupt changes, where the abrupt changes occur suddenly at specific points and extend over finite time intervals. Initially, we established solvability outcomes for the proposed switched dynamical systems by employing the fractional calculus, fixed point method, and Mittag-Leffler function. Moreover, we derived the Ulam-Hyers stability criteria for considered switched dynamical systems. Finally, we provide an example to illustrate the obtained results.</p>

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Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects

  • 期刊论文

  • 发表日期：

    2025年5月8日

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  • Rajesh Dhayal,
  • Quanxin Zhu

摘要

This paper is devoted to exploring a new class of Hilfer fractional stochastic switched dynamical systems with the Rosenblatt process and abrupt changes, where the abrupt changes occur suddenly at specific points and extend over finite time intervals. Initially, we established solvability outcomes for the proposed switched dynamical systems by employing the fractional calculus, fixed point method, and Mittag-Leffler function. Moreover, we derived the Ulam-Hyers stability criteria for considered switched dynamical systems. Finally, we provide an example to illustrate the obtained results.