FINITE-APPROXIMATE CONTROLLABILITY OF FRACTIONAL EVOLUTION EQUATIONS: VARIATIONAL APPROACH

被引：17

作者：

Mahmudov, Nazim, I ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Math, Via Mersin 10, Gazimagusa, Tr North Cyprus, Turkey

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 04期

关键词：

fractional calculus; approximate controllability; finite-approximate controllability; fractional ordinary and partial differential equations; SYSTEMS;

D O I：

10.1515/fca-2018-0050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：919 / 936

页数：18

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