Finite-approximate controllability of semilinear fractional stochastic integro-differential equations

Mahmudov N.

Chaos, Solitons and Fractals, vol.139, 2020 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 139
  • Nəşr tarixi: 2020
  • Doi nömrəsi: 10.1016/j.chaos.2020.110277
  • jurnalın adı: Chaos, Solitons and Fractals
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Açar sözlər: Approximate controllability, Finite-approximate controllability, Stochastic evolution equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

We introduce the concepts of simultaneous finite dimensional exact and mean square approximate controllability (finite-approximate controllability) in the framework of semilinear fractional stochastic integro-differential evolution Ito equations. Under the approximate controllability of the corresponding linear part we obtain sufficient conditions for the finite-approximate controllability of the semilinear fractional stochastic integro-differential evolution equation. At the end, an example of stochastic heat equation is given to show applicability of our result.