Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems
The main purpose of this paper, is to study the regional controllability concept of a semi-linear time-fractional diffusion systems involving Caputo derivative of order α ∈ (0, 1). The main result is obtained by using an extension of the Hilbert Uniqueness Method (HUM) in addition to a fixed point...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2022-01-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1306653 |
| Summary: | The main purpose of this paper, is to study the regional controllability concept of a semi-linear time-fractional
diffusion systems involving Caputo derivative of order α ∈ (0, 1). The main result is obtained by using an
extension of the Hilbert Uniqueness Method (HUM) in addition to a fixed point technique and under several
assumptions on the data of the considered equation. At the end, some numerical simulations are given to
illustrate the efficiently of our result. |
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| ISSN: | 2587-2648 |