Finite-approximate controllability of fractional evolution equations: variational approach-Reference-Cited by-同舟云学术

Finite-approximate controllability of fractional evolution equations: variational approach

Published:2018-08-01 Issue:4 Volume:21 Page:919-936
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Mahmudov Nazim I.¹

Affiliation:

1. Department of Mathematics , Eastern Mediterranean University , Gazimagusa , T.R. North Cyprus via Mersin 10, , Turkey

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0050/pdf

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