Partial-approximate controllability of nonlocal fractional evolution equations via approximating method

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Mahmudov N.

Applied Mathematics and Computation, vol.334, pp.227-238, 2018 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 334
  • Nəşr tarixi: 2018
  • Doi nömrəsi: 10.1016/j.amc.2018.03.116
  • jurnalın adı: Applied Mathematics and Computation
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.227-238
  • Açar sözlər: Approximate controllability, Fractional evolution equations, Partial-approximate controllability
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper we study partial-approximate controllability of semilinear nonlocal fractional evolution equations in Hilbert spaces. By using fractional calculus, variational approach and approximating technique, we give the approximate problem of the control system and get the compactness of approximate solution set. Then new sufficient conditions for the partial-approximate controllability of the control system are obtained when the compactness conditions or Lipschitz conditions for the nonlocal function are not required. Finally, we apply our abstract results to the partial-approximate controllability of the semilinear heat equation and delay equation.