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Existence and stability of pth Weyl almost automorphic solutions in distribution for neutral stochastic FDEs

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  • Wang, Xiaohui
  • Fu, Xianlong

Abstract

This paper considers the existence and stability of pth Weyl almost automorphic solutions in distribution for a class of neutral stochastic functional differential equations. It is first proved by Banach fixed point theorem that the equation has a unique Lp-bounded and uniformly Lp-continuous solution, and then, this solution is further checked to be pth Weyl almost automorphic in distribution. The global exponential stability and almost sure exponential stability of pth Weyl almost automorphic solutions in distribution are also discussed for the considered equation under some conditions. In the end, an example is given to illustrate the obtained results.

Suggested Citation

  • Wang, Xiaohui & Fu, Xianlong, 2025. "Existence and stability of pth Weyl almost automorphic solutions in distribution for neutral stochastic FDEs," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014425
    DOI: 10.1016/j.chaos.2024.115890
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    References listed on IDEAS

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    1. Sivajiganesan Sivasankar & Ramalingam Udhayakumar, 2022. "Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators," Mathematics, MDPI, vol. 10(12), pages 1-19, June.
    2. Dhama, Soniya & Abbas, Syed & Debbouche, Amar, 2020. "Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    3. Afoukal, Abdallah & El Attaouy, Meryem & Ezzinbi, Khalil, 2024. "On the almost periodic and almost automorphic solution for linear renewal equations with infinite delay via reduction principle," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
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