Approximate controllability of semilinear fractional evolution equations of order α ∈(1, 2] with finite delay

Fudong Ge ,S.k.shar Ma ,Chunhai Kou

doi:10.3969/j.issn.100-5137.2017.03.006

Approximate controllability of semilinear fractional evolution equations of order α ∈(1, 2] with finite delay

Fudong Ge , S.k.shar Ma + Show 1 more

https://doi.org/10.3969/j.issn.100-5137.2017.03.006

Copy DOI

Publication Date: Jun 25, 2017

Affiliation: Donghua University

#Contraction Mapping Principle #Finite Delay + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

This paper considers the approximate controllability of semilinear fractional evolution equations of order α ∈ (1, 2] with finite delay. Using the contraction mapping principle, we explore the existence and uniqueness of the mild solution. Furthermore, under certain hypotheses, the approximate controllability is obtained by the theory of strongly continuous α -order cosine family. As an illustration of the application of the obtained result, an example is given at last.

Full Text