Approximate controllability of fractional functional equations with infinite delay

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Ganesh R., Sakthivel R., Mahmudov N.

Topological Methods in Nonlinear Analysis, vol.43, no.2, pp.345-364, 2014 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 43 Say: 2
  • Nəşr tarixi: 2014
  • Doi nömrəsi: 10.12775/tmna.2014.020
  • jurnalın adı: Topological Methods in Nonlinear Analysis
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.345-364
  • Açar sözlər: Approximate controllability, Fractional differential equations, Solution operators
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Fractional differential equations have been used for constructing many mathematical models in science and engineering. In this paper, we study the approximate controllability results for a class of impulsive fractional differential equations with infinite delay. A new set of sufficient conditions are formulated and proved for achieving the required result. In particular, the results are established under the natural assumptions that the corresponding linear system is approximately controllable. The results are obtained by using the fractional calculus, solution operators and fixed point technique. An example is also provided to illustrate the theory. Further, as a corollary, exact controllability result is discussed without assuming compactness of characteristic solution operators. © 2014 Juliusz Schauder Centre for Nonlinear Studies.