On the approximate controllability of fractional evolution equations with compact analytic semigroup


Mahmudov N., Zorlu S.

Journal of Computational and Applied Mathematics, vol.259, no.PART A, pp.194-204, 2014 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 259 Say: PART A
  • Nəşr tarixi: 2014
  • Doi nömrəsi: 10.1016/j.cam.2013.06.015
  • jurnalın adı: Journal of Computational and Applied Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.194-204
  • Açar sözlər: Approximate controllability, Compact operators, Fractional differential equations, Semigroup theory
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper we discuss the approximate controllability of fractional evolution equations involving Caputo fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory and the Schauder's fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained results. © 2013 Elsevier B.V. All rights reserved.