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Nonlocal Cauchy problem for fractional stochastic evolution equations in Hilbert spaces

  • Autores: Pengyu Chen, Yongxiang Li
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 1, 2015, págs. 63-76
  • Idioma: inglés
  • DOI: 10.1007/s13348-014-0106-y
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • This paper is concerned with the existence of ? -mild solutions for a class of fractional stochastic integro-differential evolution equations with nonlocal initial conditions in a real separable Hilbert space. We assume that the linear part generates a compact, analytic and uniformly bounded semigroup, the nonlinear part satisfies some local growth conditions in Hilbert space ℍ and the nonlocal term satisfies some local growth conditions in fractional power space ℍ? . The result obtained in this paper improves and extends some related conclusions on this topic. An example is also given to illustrate the feasibility of our abstract result.


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