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PreprintCC BY 4.0arXiv

Weyl Pseudo Almost Periodic Type Solutions to Semilinear Stochastic Evolution Equations Driven by Fractional Brownian Motion

  • Dimplekumar N. Chalishajar
  • Marko Kostic
  • Daniel Velinov
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Abstract

In this paper, we analyze square-mean Weyl almost periodic solutions and square-mean Weyl double-measure pseudo almost periodic solutions for a class of semilinear evolution equations in separable Hilbert spaces driven by two-sided fractional Brownian motion with Hurst index H<1/2. Due to the non-integrability of covariance density for H<1/2, a Hölder-continuity condition on the diffusion coefficient is required. An illustrative example involving a stochastic parabolic equation demonstrates the applicability of obtained results.

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Cite

BibTeXRIS
BibTeX
@misc{chalishajar2026weyl,
  title = {{Weyl Pseudo Almost Periodic Type Solutions to Semilinear Stochastic Evolution Equations Driven by Fractional Brownian Motion}},
  author = {Dimplekumar N. Chalishajar and Marko Kostic and Daniel Velinov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25321},
  eprint = {2609.25321},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25321},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Weyl Pseudo Almost Periodic Type Solutions to Semilinear Stochastic Evolution Equations Driven by Fractional Brownian Motion
AU  - Dimplekumar N. Chalishajar
AU  - Marko Kostic
AU  - Daniel Velinov
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25321
UR  - https://arxiv.org/abs/2609.25321
AB  - In this paper, we analyze square-mean Weyl almost periodic solutions and square-mean Weyl double-measure pseudo almost periodic solutions for a class of semilinear evolution equations in separable Hilbert spaces driven by two-sided fractional Brownian motion with Hurst index H<1/2. Due to the non-integrability of covariance density for H<1/2, a Hölder-continuity condition on the diffusion coefficient is required. An illustrative example involving a stochastic parabolic equation demonstrates the applicability of obtained results.
ER  -