Finite-approximate controllability of fractional evolution equations: Variational approach

Mahmudov N.

Fractional Calculus and Applied Analysis, vol.21, no.4, pp.919-936, 2018 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 21 Say: 4
  • Nəşr tarixi: 2018
  • Doi nömrəsi: 10.1515/fca-2018-0050
  • jurnalın adı: Fractional Calculus and Applied Analysis
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.919-936
  • Açar sözlər: approximate controllability, finite-approximate controllability, fractional calculus, fractional ordinary and partial differential equations
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this work we extend a variational method to study the approximate controllability and finite dimensional exact controllability (finite-approximate controllability) for the fractional semilinear evolution equations with nonlocal conditions in Hilbert spaces. Assuming the approximate controllability of the corresponding linear equation we obtain sufficient conditions for the finite-approximate controllability of the fractional semilinear evolution equation under natural conditions. The obtained results are generalization and continuation of the recent results on this issue. Applications to heat equations are treated.